problem solving reflection paper

How to Write Reflection Paper: Step-by-Step Guide

Table of contents

• 1 What Is a Reflective Essay?
• 2.1 Critical Reflection Paper
• 2.2 Personal Reflection Paper
• 2.3 Reading Reflection Paper
• 3.1 Gibbs’ Reflective Cycle
• 3.2 Boud’s Three-Level Model of Reflection
• 3.3 Schön’s Reflective Practitioner
• 3.4 Brookfield’s Four Lenses
• 3.5 Atkins and Murphy’s Model
• 3.6 Dewey’s Reflective Thinking
• 4 Writing a Reflection Outline
• 5 Reflection Paper Format
• 6.1 Choose the topic
• 6.2 Start with the main theme
• 6.3 Brainstorming part
• 6.4 Analyze how and why
• 6.5 Connect your opinion, experience, and observation
• 7.1 1. Describe the Experience Vividly
• 7.2 2. Use of First Person
• 7.3 3. Balancing Personal and Objective Elements
• 7.4 4. Authenticity and Honesty
• 7.5 5. Critical Self-Reflection
• 7.6 6. Demonstrating Growth and Learning
• 8 Reflection Paper Example
• 9 Ideas to Come Up with a Topic for a Reflective Essay
• 10 Reflective Essay Topic Ideas for Middle School Students
• 11 Reflective Essay Topics for College Students
• 12 Reflective Essay Topics for High School Students
• 13 Reflective Essay Topics about Places and Locations
• 14 Reflective Essay Topics about Events You Cherish
• 15 Reflective Essay Topics about Nature and Wildlife
• 16 Reflective Essay Topics about Relationships
• 17 Personal Reflective Essay Topics Ideas
• 18 Reflective Essay Topics about Nursing and Caring
• 19 Crafting Reflective Narratives

Have you watched or read something that impressed you much? In this case, you may want to talk about it in your essay. Often, students write such a paper not because they genuinely want to share something but because the professor wants to check how they have mastered the material. Thus, this article will give instructions to help you write an exciting and valuable reflection paper.

• Starting with an outline, we will walk you through the nuances of the reflection paper format.
• The article will guide you through the process of writing a reflection essay, from selecting a topic and identifying the central theme to engaging in brainstorming and analytical thinking.
• Emphasize the importance of connecting personal experiences and observations with your opinions.
• Moreover, the piece includes an extensive section on writing tips, where we discuss how to vividly describe experiences and balance personal insights with objective analysis.

What Is a Reflective Essay ?

Before we share what you need to know about effective reflection paper writing, we need to clarify what this type of essay is. It is your personal opinion and reaction about something, e.g., a movie or a trip. Accordingly, you must write about how that topic affected you instead of using only facts and arguments. As such, these papers are very appealing, and most students enjoy writing them. Of course, some don’t like these and rely on a writing essay service to complete a paper in no time.

In essence, the reflection’s purpose is to create a paper expressing your thoughts and opinions about the main topic. There are a few variations of reflection here, and we will explain each below.

Types of Reflective Writing

To write a reflection paper, you must pay close attention to the type you use. Word count is low here, so you must stay focused and use all the steps and proper elements. The essential element is to know about three different types. These will determine how to write a good reflection paper, how you need to optimize body paragraphs, and so much more. It is also one reason that makes writing reflection papers so hard.

Critical Reflection Paper

It is the most common and hardest type. It will be based on your study and has to include different points. For example, you need to elaborate on what you have learned, the experiences you received, and how and what challenges it took. However, you don’t have enough room, so you will need to be professional in this kind of academic writing, and you still need to focus on the main themes. Additionally, you will have to provide details about your experiences and reactions and analyze them in detail. Studying reflection paper examples may be necessary to get a general idea.

Personal Reflection Paper

Here, you also need to provide your experiences. Besides, you will also have to explain how it concerns you. There are countless examples and plenty of things you are about to discover. It differs from a critical reflection paper and focuses more on the experience’s personal element than anything else. You can always write a personal reflection essay how you like and want, but try to focus on the essential occasion.

Reading Reflection Paper

Being a pivotal component of education, a reflection paper plays a significant role in conveying the impact of literature, particularly books, on the individual. It necessitates clearly articulating how the reading material has influenced and shaped personal experiences. At many educational institutions, crafting a reflection on literature is a standard assignment. In meeting this requirement, it is essential to encompass all key aspects of this academic genre. Thus, the expected length of a reflection paper typically ranges from 2 to 3 pages, ensuring a concise yet comprehensive exploration of the insights gained from the literary experience.

Approaches to Reflective Inquiry

A reflection assignment is a powerful tool for personal growth and learning, allowing individuals to explore their experiences and derive meaning from them. Various approaches to thoughtful inquiry provide frameworks that can significantly enrich the narrative of a reflective essay. By incorporating these theories, writers can deepen their self-awareness, analyze their experiences from different perspectives, and articulate the transformative journey within their narratives. This exploration delves into five prominent approaches, each offering a unique lens through which individuals can reflect on something.

Gibbs’ Reflective Cycle

Graham Gibbs’ model offers a structured approach with six stages: Description, Feelings, Evaluation, Analysis, Conclusion, and Action Plan. This cycle ensures a comprehensive exploration of the experience by systematically guiding writers through each step. From initial impressions to actionable insights, Gibbs’ Reflective Cycle provides a robust framework for dissecting and creating a personal experience essay.

Boud’s Three-Level Model of Reflection

David Boud’s model comprises Descriptive Reflection, Dialogic Reflection, and Critical Reflection. By progressing through these levels, writers can move beyond surface-level observations, engage in a meaningful internal dialogue, and critically evaluate the broader implications of their experiences. Consequently, Boud’s model encourages writers to delve into the complexity of their reflections, fostering a more profound understanding of the self and the surrounding context.

Schön’s Reflective Practitioner

Donald Schön’s model distinguishes between Reflection-in-Action, Reflection-on-Action, and Knowing-in-Action. This approach emphasizes the importance of reflecting in real time, analyzing past experiences, and understanding how knowledge shapes future actions. Hence, Schön’s Reflective Practitioner offers a dynamic perspective that aligns with the ever-evolving nature of personal and professional development.

Brookfield’s Four Lenses

Stephen Brookfield’s model encourages writers to view their experiences through four distinct lenses: Autobiographical, Student, Colleague, and Theoretical. By adopting these different perspectives, writers gain a holistic understanding of their experiences, considering personal biases, the viewpoints of others, and theoretical frameworks that contribute to a more comprehensive self-reflection paper.

Atkins and Murphy’s Model

Sensing, Selecting, Executing, and Evaluating form the four stages of this model. Writers following this approach systematically progress through decision-making, implementation, and reflection, offering a practical reflection essay structure for examining the entire process. Particularly, Atkins and Murphy’s Model ensures writers reflect on the outcomes, decision-making, and implementation phases.

Dewey’s Reflective Thinking

John Dewey’s model follows a problem-solving approach with four stages: Identifying a Problem, Describing the Problem, Suggesting Solutions, and Testing Solutions. This model emphasizes recognizing challenges, contextualizing them, generating solutions, and assessing their effectiveness. Thus, Dewey’s Reflective Thinking aligns reflection with practical problem-solving, making it applicable in various contexts.

That being said, incorporating these reflective inquiry approaches into essay narratives enables writers to transcend surface-level descriptions, fostering a more profound understanding of their experiences. Whether examining emotions, analyzing actions, or considering multiple perspectives, these frameworks provide a structured pathway for meaningful self-discovery and growth.

Writing a Reflection Outline

Writing a reflection paper involves more than simply recounting experiences; it requires a thoughtful and organized approach to convey personal insights and growth effectively. That is why creating a reflective essay outline and adhering to a specific format can enhance the clarity and coherence of your reflective essay.

Reflection Paper Introduction:

• Briefly introduce the experience or topic of reflection.
• Provide context or background information as needed.
• Clearly state the purpose of the reflection.

Body Paragraphs:

• Organize each paragraph around a specific aspect/theme of the experience.
• Use headings to distinguish different elements of the reflection.
• Follow a chronological/thematic order, depending on the reflection’s nature.

Description:

• Begin with a detailed description of the experience.
• Capture sensory details, emotions, and the overall atmosphere.
• Set the stage for readers to immerse themselves in the narrative.
• Explore your emotions and thoughts during the experience.
• Discuss how the event impacted you on a personal and emotional level.
• Be honest and reflective in expressing your feelings.

Evaluation:

• Analyze the experience.
• Consider what worked well and what could have been improved.
• Reflect on the significance of specific moments or decisions.
• Reflect on what you learned from the experience.
• Connect the experience to broader concepts, theories, or personal beliefs.
• Consider how the experience contributed to your personal or professional development.

Conclusion:

• Summarize the critical insights gained from the reflection.
• Reinforce the significance of the experience in the broader context of your life.
• End a reflection paper with a compelling conclusion for a lasting impression.

Action Plan (Optional):

• Discuss how the insights will influence your future actions or decisions.
• Consider any changes you plan to implement based on the reflection.

Reflection Paper Format

Here, we can see one crucial fact about reflective writing. All papers of this kind must use proper formatting. Admittedly, a reflective paper format will make your essay look as it should, and you won’t have any issues with your professor making any mistakes possible. In simple terms, this is the template you can use for all papers of this kind.

To encourage you to explore your ideas for different reflective essay topics , we will have to interpret the main facts below so you can use them. Keep in mind that your school may have a different requirement, so you will have to talk to your professor and get the guidelines to use them to write a reflection essay.

An academic writing is different worldwide, but you must do this before starting any essay:

• You must write on A4 paper (in Office Word or on real paper).
• Margins must be 1 inch.
• The text size is 12 points.
• Fonts you can use are Times New Roman, Arial, and Calibri.
• All lines must be paired with double spaces.
• A teacher will define the citation (usually APA or Chicago style).
• The length should be between 250 and 750 words.

How to Write Reflection Paper : Step-by-Step Guide

How to start a reflection paper? For this purpose, we will have a complete process of creating an effective reflective paper. All the experts use this simple guide, and it can have a huge effect on your writing. Undoubtedly, each reflective paper must follow the points, so you can imagine how crucial these are. If you skip at least one, you can finish poorly and get a lower grade. While at college, you can use these all the time but only on papers of this kind.

Choose the topic

The first is to pick the topic and thesis statement for reflective essay. Thus, you will have an easier time writing, and you will be able to focus more on the things you like and find interesting. You can also find some self-reflection paper examples . If the topic is not something you can opt for, you will probably have a harder time. Indeed, your chosen topic must perfectly match your experience and opinion and make you passionate. This is one of the reasons why so many students need help and want to get a good reflection paper done. They don’t want to write about some topic they don’t like. Luckily, you can always buy a research paper and get it over with.

Start with the main theme

You must write about what you have learned from the experience you are defining. Try to match the readers. They will want to be able to link up with you, and they will need that. In other words, if you can choose this, you already have a good reflection paper. They should be able to relate to that from reading your essay. Additionally, you can use strong words and many details if you are trying to define this from a book. At college, this is essential.

Brainstorming part

This can be an interesting part. You will need to relax and write down all the ideas that you have on your mind for self-reflective writing. It is not substantial how silly they are or how special they sound. Just write them down. Once you are done, you can organize them and make corrections. You should start with a title page when this is a more significant element. In general, you will have to write down anything memorable that may have any impact on the essay you are writing now.

✏️Example:

Main theme: A constant fear of missing out.

• I only feel FOMO when I’m studying instead of having fun.
• Studies show that FOMO is a display of fear of social exclusion.
• Social media foments the fomo.
• Now I realize the main solution to FOMO is to spend less time checking on the feed.

Analyze how and why

Now, you will need to choose and analyze that idea in depth. You will need to write about how and why it hit you and your experience at the end. This is more important than you may believe and has a huge role. While at school, you always need to ask yourself how to make a self-reflection assignment and why. These are mandatory questions for all types of writing, which can help you get your desired grade.

✏️Examples of reflective writing:

• “Before” questions: What will I receive from this experience? Which critical thinking skills do I need to overcome? Are there any issues I can face?
• “During” questions: What is the expertise I receive from the occasion? How do I feel about it? Does this experience change my outlook?
• “After” questions: How have these past experiences altered my life and thoughts? Did it meet my expectations? How can I express my feelings about it?

Connect your opinion, experience, and observation

You will need to write about the connection between what you thought about that idea, your experience, and what you observed. Try to link these simply and reach your readers as well. It may sound obvious, but one element can be essential for understanding. If you are writing a reflection essay about the book, you must say something about the author, the characters’ names, and how it affected you.

6 Tips on Writing Your Reflection Paper

Writing a reflective essay is a powerful vehicle for self-discovery and learning, allowing you to delve into your experiences and extract valuable insights. Here are six essential tips to enhance the effectiveness of your reflection paper:

1. Describe the Experience Vividly

Bring your experiences to life by vividly describing the details. Engage your reader’s senses with colorful language, capturing the moment’s sights, sounds, and emotions, especially if you are writing a reflection paper on a book. Transport them into the scene by painting a rich picture, allowing them to connect with your experience on a deeper level. Whether it’s a significant life event or a subtle moment of realization, the power of your reflection lies in the ability to convey the experience with clarity and depth.

2. Use of First Person

Reflection papers are inherently personal, so embrace the use of first-person pronouns. This approach allows you to express your thoughts, feelings, and perceptions authentically. Accordingly, using “I” and “me” invites the reader into your journey, fostering a connection and providing a more genuine reflection of your experiences. Don’t shy away from sharing your perspective; it is the foundation of a reflection paper format.

3. Balancing Personal and Objective Elements

Strike a balance between personal reflections and objective analysis. While conveying your emotions and subjective experience is crucial, incorporate objective elements to provide context and depth to your reflection in psychology and self-development. Besides, consider the broader implications of your experience and how it fits into the larger socio-cultural or academic context. This balance ensures that your reflection is both introspective and intellectually engaging.

4. Authenticity and Honesty

Authenticity is the heart of reflective writing. Be honest with yourself and your readers about your thoughts and emotions. Share the highs and lows, acknowledging moments of uncertainty or personal growth. No doubt, readers connect with authenticity, adding depth to your narrative. Also, avoid embellishment or artificial positivity; let your genuine voice shine through, creating a narrative that resonates with sincerity.

5. Critical Self-Reflection

Go beyond surface-level descriptions by engaging in critical self-reflection. Thereupon, challenge your assumptions, question your beliefs, and analyze your thought processes during the experience. After, consider how external factors or societal influences may have shaped your perspective. Critical self-reflection demonstrates intellectual rigor and a willingness to explore the complexities of your thoughts, contributing to a more nuanced and insightful reflection.

6. Demonstrating Growth and Learning

A reflection paper is not just about recounting an experience; it’s an opportunity to showcase personal growth and learning. Thus, reflect on how the experience has influenced your beliefs, attitudes, or actions. Discuss any changes in your mindset or behavior that have resulted from this reflection. Plus, articulate the lessons learned and highlight the ongoing process of development. Demonstrating growth adds a forward-looking dimension to your reflection, illustrating the transformative impact of your experiences.

Incorporating these tips into your reflective writing process will make your paper more engaging and provide a platform for genuine self-exploration and learning. Embrace the opportunity to share your unique perspective, allowing your reflection to resonate authentically with yourself and your readers.

Reflection Paper Example

“Reflecting on the Moment I Received a Long-Desired Possession” I still vividly remember the day I received the item I had been longing for – a sleek, silver MacBook Pro laptop. It was a momentous occasion for me, as I had been saving up for it for months and constantly researching and comparing different models and features. The laptop symbolized a new level of independence and creativity for me, and I was beyond excited to finally have it in my hands. As I eagerly tore open the box, I felt a rush of emotions – excitement, gratitude, and a sense of accomplishment. I had worked hard for this, and it was a tangible representation of my efforts and determination. I felt proud of myself for setting a goal and following through with it, and I couldn’t wait to start using my new laptop to its full potential. Using the MacBook Pro was like a dream come true. Its sleek design, fast processing speed, and advanced features made it so much easier for me to accomplish tasks and unleash my creativity. Whether I was working on school projects, writing personal essays, or just browsing the web, I felt inspired and empowered. This experience taught me a valuable lesson about the power of perseverance and hard work. I learned that if I set my mind to something and put in the effort, I can make it happen. This sense of control and autonomy was empowering and gave me a new level of confidence. In conclusion, receiving my long-desired MacBook Pro was a moment that will stay with me for a long time. It taught me about the rewards of hard work and perseverance, and gave me a new sense of confidence and independence. I am grateful for this experience, and I am looking forward to using my laptop for many years to come.

Ideas to Come Up with a Topic for a Reflective Essay

As you already know, writing a reflective essay requires speaking from experience and expressing yourself. That means that not only do you need to have an understanding of a specific matter. But you have to find a relation between the subject of the writing and yourself. That is related to creative skills, as interpreting that connection and experience is not an easy matter.

When writing such assignments, knowing how to pick your topic is crucial. For that, you should choose something of interest, and it can be anything dear to you—places, events, or meaningful moments with special people.

Always conduct thoughtful research. Finding information about your topic is crucial, as you must not only speak with your experiences but be able to confirm that with some facts and examples too. It is vital to ensure that you do not make up facts by yourself and provide truthful information, see from your perspective, and explain with your understanding.

Keep these tips in mind when selecting your reflective essay topic. They will greatly help and make the writing process more comfortable. Now it’s time to give you another shoulder. Check down below, and you will find reflective essay topic examples that inspire you to create the perfect one.

Reflective Essay Topic Ideas for Middle School Students

• What I Did During the Summer Vacation
• School Trips Are Fun
• The Impact of School Sports
• Season Changes and Their Beauty
• The Winter Vacations
• When Was The First Time You Lied?
• Best School Memory You Have
• How Important Is Family?
• Why Lies Are a Bad Thing
• First Day at School

Reflective Essay Topics for College Students

• What Is Your Favorite Computer Game?
• Was the Time You Spend Studying Worth It?
• The Impact Humans Leave on Nature
• A Gorgeous Person You Have Met
• When Were You Really Embarrassed for the First Time?
• The Best Birthday Memory You Have
• Your Special Person and Their Importance to You
• What Is Your Favorite Holiday Season?
• Are You Afraid of Failing at School?
• School Bullying, a Factor that Must Disappear

Reflective Essay Topics for High School Students

• Your Favorite Fast Food Place
• Playing on the Beach as a Middle Schooler
• Moving to a New Place and the Issues that Come With It
• Effects of Gaming on School Performance
• Life Behaviour and Understandings from the Perspective of a High Schooler
• Overstudying, Depression and Its Effects on the Modern Student’s Life
• How Does Social Media Influence the Life of Every High Schooler?
• The First Time You Fell in Love
• Features in the Educational System that Must Be Changed
• Your Favorite Hobby and Its Effects on Your Life

Reflective Essay Topics about Places and Locations

• The House in Which I Grew Up
• Your First School Trip and the Experience You Gained from It
• Dear Memories of Your Grandparent’s Place
• Which Place Makes You Feel Safe No Matter What?
• Your School Club and Its Importance to You
• The Part Where You Kissed Your Loved One
• Circus, the First Time You Ever Visited One
• The Mall and Its Vital Role in Every Student’s Life
• Your Favorite Coffee Place
• The Cinema Where You Went on a Date for the First Time

Reflective Essay Topics about Events You Cherish

• Your Best Birthday Party Memory
• The First Parenting Experience You Have Got
• The Importance of Getting a New Job
• Fishing and the Memories You Have Got from Your Grandparents
• First-Ever Experience with Your Favorite Sport
• The Time You Got Lost in a New City
• Your Favorite Sports Event
• The Time You Celebrated Your First Significant Anniversary
• Your First Time Going to a Bar for a Drink
• What Was the Best Unexpected Gift You Have Ever Gotten?

Reflective Essay Topics about Nature and Wildlife

• Your First Experience of Seeing and Touching a Wild Animal
• Farming, Your Experience with It, and Personal Observations
• The Most Beautiful Sunset You Have Ever Seen
• Rock Climbing and Its Effects Over People’s Mindset
• First Natural Disaster You Have Seen
• Your Experience with Insects
• Nature and Hiking, Importance of Healthy Life
• Your Thoughts about Winter and the First Snow Every Year
• Scuba Diving, Experiencing Life Beneath the Surface
• Your First-Ever Walk in the Summer Rain

Reflective Essay Topics about Relationships

• The Importance of Family in Your Life
• What Is the Most Significant Memory that You Have with Your Loved One?
• When Was the Last Time You Had a Good Laugh with Your Other Half?
• The First Time You Have Told Someone You Are Sorry for Your Actions
• The Impact of a Healthy Family Relation on the Positive Mindset of a Person
• Your Thoughts about Social Networking at Work
• School, Student, and Teacher Relationship and Its Importance over Studies
• Sincere Thoughts about Relationship with a Family Member
• Long Distance Dating, Pros and Cons of the Healthy Relationship
• When Was The Best Date You Ever Had?

Personal Reflective Essay Topics Ideas

• Eating During School and Your Personal Experience with It
• Your Most Significant Memory of Your First Workplace
• Graduation and My First Time Finding a Job
• The Most Beautiful Memory of a Walk in Nature
• When Was the First Time Someone Asked You on a Date?
• The Earliest Birthday Memory You Have
• Your First Job Interview
• The One Time You Unexpectedly Went on a Journey
• What Was the Thing That Made You Fall in Love?

Reflective Essay Topics about Nursing and Caring

• Your Thoughts on Nursing and the Hardships Related to It
• Nursing Studies, Your Experience of the Process
• Elderly People Homes and Nurse’s Importance
• Man in the Nursing Sector
• Your Insights on the Nursing Career Path
• The Importance of Fast Reaction and Time Management Issues
• Nursing and the Patients, Whose Interest Comes First
• Modern Ethics and Their Importance in the Nursing Sector
• My Life as a Nurse, Reflection Essay
• Nurse and Why Did I Choose to Become One?

Crafting Reflective Narratives

In navigating the landscape of reflective writing, embracing vivid descriptions, first-person engagement, and a delicate balance of personal and objective elements is essential. Authenticity and honesty form the bedrock of compelling reflections, creating connections between writer and reader. Otherwise, you can ask for help and Google someone who will perform your “ write my paper for me ” request or try to do it yourself.

Critical self-reflection elevates the discourse, fostering intellectual exploration. A well-crafted reflection paper should be a testament to growth and learning. As you embark on your reflective journey, remember that each experience, when authentically shared, has the potential to resonate profoundly. Embrace the transformative power of your narrative and let the true essence of your journey unfold!

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Reflective writing is a process of identifying, questioning, and critically evaluating course-based learning opportunities, integrated with your own observations, experiences, impressions, beliefs, assumptions, or biases, and which describes how this process stimulated new or creative understanding about the content of the course.

A reflective paper describes and explains in an introspective, first person narrative, your reactions and feelings about either a specific element of the class [e.g., a required reading; a film shown in class] or more generally how you experienced learning throughout the course. Reflective writing assignments can be in the form of a single paper, essays, portfolios, journals, diaries, or blogs. In some cases, your professor may include a reflective writing assignment as a way to obtain student feedback that helps improve the course, either in the moment or for when the class is taught again.

How to Write a Reflection Paper . Academic Skills, Trent University; Writing a Reflection Paper . Writing Center, Lewis University; Critical Reflection . Writing and Communication Centre, University of Waterloo; Tsingos-Lucas et al. "Using Reflective Writing as a Predictor of Academic Success in Different Assessment Formats." American Journal of Pharmaceutical Education 81 (2017): Article 8.

Benefits of Reflective Writing Assignments

As the term implies, a reflective paper involves looking inward at oneself in contemplating and bringing meaning to the relationship between course content and the acquisition of new knowledge . Educational research [Bolton, 2010; Ryan, 2011; Tsingos-Lucas et al., 2017] demonstrates that assigning reflective writing tasks enhances learning because it challenges students to confront their own assumptions, biases, and belief systems around what is being taught in class and, in so doing, stimulate student’s decisions, actions, attitudes, and understanding about themselves as learners and in relation to having mastery over their learning. Reflection assignments are also an opportunity to write in a first person narrative about elements of the course, such as the required readings, separate from the exegetic and analytical prose of academic research papers.

Reflection writing often serves multiple purposes simultaneously. In no particular order, here are some of reasons why professors assign reflection papers:

• Enhances learning from previous knowledge and experience in order to improve future decision-making and reasoning in practice . Reflective writing in the applied social sciences enhances decision-making skills and academic performance in ways that can inform professional practice. The act of reflective writing creates self-awareness and understanding of others. This is particularly important in clinical and service-oriented professional settings.
• Allows students to make sense of classroom content and overall learning experiences in relation to oneself, others, and the conditions that shaped the content and classroom experiences . Reflective writing places you within the course content in ways that can deepen your understanding of the material. Because reflective thinking can help reveal hidden biases, it can help you critically interrogate moments when you do not like or agree with discussions, readings, or other aspects of the course.
• Increases awareness of one’s cognitive abilities and the evidence for these attributes . Reflective writing can break down personal doubts about yourself as a learner and highlight specific abilities that may have been hidden or suppressed due to prior assumptions about the strength of your academic abilities [e.g., reading comprehension; problem-solving skills]. Reflective writing, therefore, can have a positive affective [i.e., emotional] impact on your sense of self-worth.
• Applying theoretical knowledge and frameworks to real experiences . Reflective writing can help build a bridge of relevancy between theoretical knowledge and the real world. In so doing, this form of writing can lead to a better understanding of underlying theories and their analytical properties applied to professional practice.
• Reveals shortcomings that the reader will identify . Evidence suggests that reflective writing can uncover your own shortcomings as a learner, thereby, creating opportunities to anticipate the responses of your professor may have about the quality of your coursework. This can be particularly productive if the reflective paper is written before final submission of an assignment.
• Helps students identify their tacit [a.k.a., implicit] knowledge and possible gaps in that knowledge . Tacit knowledge refers to ways of knowing rooted in lived experience, insight, and intuition rather than formal, codified, categorical, or explicit knowledge. In so doing, reflective writing can stimulate students to question their beliefs about a research problem or an element of the course content beyond positivist modes of understanding and representation.
• Encourages students to actively monitor their learning processes over a period of time . On-going reflective writing in journals or blogs, for example, can help you maintain or adapt learning strategies in other contexts. The regular, purposeful act of reflection can facilitate continuous deep thinking about the course content as it evolves and changes throughout the term. This, in turn, can increase your overall confidence as a learner.
• Relates a student’s personal experience to a wider perspective . Reflection papers can help you see the big picture associated with the content of a course by forcing you to think about the connections between scholarly content and your lived experiences outside of school. It can provide a macro-level understanding of one’s own experiences in relation to the specifics of what is being taught.
• If reflective writing is shared, students can exchange stories about their learning experiences, thereby, creating an opportunity to reevaluate their original assumptions or perspectives . In most cases, reflective writing is only viewed by your professor in order to ensure candid feedback from students. However, occasionally, reflective writing is shared and openly discussed in class. During these discussions, new or different perspectives and alternative approaches to solving problems can be generated that would otherwise be hidden. Sharing student's reflections can also reveal collective patterns of thought and emotions about a particular element of the course.

Bolton, Gillie. Reflective Practice: Writing and Professional Development . London: Sage, 2010; Chang, Bo. "Reflection in Learning." Online Learning 23 (2019), 95-110; Cavilla, Derek. "The Effects of Student Reflection on Academic Performance and Motivation." Sage Open 7 (July-September 2017): 1–13; Culbert, Patrick. “Better Teaching? You Can Write On It “ Liberal Education (February 2022); McCabe, Gavin and Tobias Thejll-Madsen. The Reflection Toolkit . University of Edinburgh; The Purpose of Reflection . Introductory Composition at Purdue University; Practice-based and Reflective Learning . Study Advice Study Guides, University of Reading; Ryan, Mary. "Improving Reflective Writing in Higher Education: A Social Semiotic Perspective." Teaching in Higher Education 16 (2011): 99-111; Tsingos-Lucas et al. "Using Reflective Writing as a Predictor of Academic Success in Different Assessment Formats." American Journal of Pharmaceutical Education 81 (2017): Article 8; What Benefits Might Reflective Writing Have for My Students? Writing Across the Curriculum Clearinghouse; Rykkje, Linda. "The Tacit Care Knowledge in Reflective Writing: A Practical Wisdom." International Practice Development Journal 7 (September 2017): Article 5; Using Reflective Writing to Deepen Student Learning . Center for Writing, University of Minnesota.

How to Approach Writing a Reflection Paper

Thinking About Reflective Thinking

Educational theorists have developed numerous models of reflective thinking that your professor may use to frame a reflective writing assignment. These models can help you systematically interpret your learning experiences, thereby ensuring that you ask the right questions and have a clear understanding of what should be covered. A model can also represent the overall structure of a reflective paper. Each model establishes a different approach to reflection and will require you to think about your writing differently. If you are unclear how to fit your writing within a particular reflective model, seek clarification from your professor. There are generally two types of reflective writing assignments, each approached in slightly different ways.

1.  Reflective Thinking about Course Readings

This type of reflective writing focuses on thoughtfully thinking about the course readings that underpin how most students acquire new knowledge and understanding about the subject of a course. Reflecting on course readings is often assigned in freshmen-level, interdisciplinary courses where the required readings examine topics viewed from multiple perspectives and, as such, provide different ways of analyzing a topic, issue, event, or phenomenon. The purpose of reflective thinking about course readings in the social and behavioral sciences is to elicit your opinions, beliefs, and feelings about the research and its significance. This type of writing can provide an opportunity to break down key assumptions you may have and, in so doing, reveal potential biases in how you interpret the scholarship.

If you are assigned to reflect on course readings, consider the following methods of analysis as prompts that can help you get started :

• Examine carefully the main introductory elements of the reading, including the purpose of the study, the theoretical framework being used to test assumptions, and the research questions being addressed. Think about what ideas stood out to you. Why did they? Were these ideas new to you or familiar in some way based on your own lived experiences or prior knowledge?
• Develop your ideas around the readings by asking yourself, what do I know about this topic? Where does my existing knowledge about this topic come from? What are the observations or experiences in my life that influence my understanding of the topic? Do I agree or disagree with the main arguments, recommended course of actions, or conclusions made by the author(s)? Why do I feel this way and what is the basis of these feelings?
• Make connections between the text and your own beliefs, opinions, or feelings by considering questions like, how do the readings reinforce my existing ideas or assumptions? How the readings challenge these ideas or assumptions? How does this text help me to better understand this topic or research in ways that motivate me to learn more about this area of study?

2.  Reflective Thinking about Course Experiences

This type of reflective writing asks you to critically reflect on locating yourself at the conceptual intersection of theory and practice. The purpose of experiential reflection is to evaluate theories or disciplinary-based analytical models based on your introspective assessment of the relationship between hypothetical thinking and practical reality; it offers a way to consider how your own knowledge and skills fit within professional practice. This type of writing also provides an opportunity to evaluate your decisions and actions, as well as how you managed your subsequent successes and failures, within a specific theoretical framework. As a result, abstract concepts can crystallize and become more relevant to you when considered within your own experiences. This can help you formulate plans for self-improvement as you learn.

If you are assigned to reflect on your experiences, consider the following questions as prompts to help you get started :

• Contextualize your reflection in relation to the overarching purpose of the course by asking yourself, what did you hope to learn from this course? What were the learning objectives for the course and how did I fit within each of them? How did these goals relate to the main themes or concepts of the course?
• Analyze how you experienced the course by asking yourself, what did I learn from this experience? What did I learn about myself? About working in this area of research and study? About how the course relates to my place in society? What assumptions about the course were supported or refuted?
• Think introspectively about the ways you experienced learning during the course by asking yourself, did your learning experiences align with the goals or concepts of the course? Why or why do you not feel this way? What was successful and why do you believe this? What would you do differently and why is this important? How will you prepare for a future experience in this area of study?

NOTE: If you are assigned to write a journal or other type of on-going reflection exercise, a helpful approach is to reflect on your reflections by re-reading what you have already written. In other words, review your previous entries as a way to contextualize your feelings, opinions, or beliefs regarding your overall learning experiences. Over time, this can also help reveal hidden patterns or themes related to how you processed your learning experiences. Consider concluding your reflective journal with a summary of how you felt about your learning experiences at critical junctures throughout the course, then use these to write about how you grew as a student learner and how the act of reflecting helped you gain new understanding about the subject of the course and its content.

ANOTHER NOTE: Regardless of whether you write a reflection paper or a journal, do not focus your writing on the past. The act of reflection is intended to think introspectively about previous learning experiences. However, reflective thinking should document the ways in which you progressed in obtaining new insights and understandings about your growth as a learner that can be carried forward in subsequent coursework or in future professional practice. Your writing should reflect a furtherance of increasing personal autonomy and confidence gained from understanding more about yourself as a learner.

Structure and Writing Style

There are no strict academic rules for writing a reflective paper. Reflective writing may be assigned in any class taught in the social and behavioral sciences and, therefore, requirements for the assignment can vary depending on disciplinary-based models of inquiry and learning. The organization of content can also depend on what your professor wants you to write about or based on the type of reflective model used to frame the writing assignment. Despite these possible variations, below is a basic approach to organizing and writing a good reflective paper, followed by a list of problems to avoid.

Pre-flection

In most cases, it's helpful to begin by thinking about your learning experiences and outline what you want to focus on before you begin to write the paper. This can help you organize your thoughts around what was most important to you and what experiences [good or bad] had the most impact on your learning. As described by the University of Waterloo Writing and Communication Centre, preparing to write a reflective paper involves a process of self-analysis that can help organize your thoughts around significant moments of in-class knowledge discovery.

• Using a thesis statement as a guide, note what experiences or course content stood out to you , then place these within the context of your observations, reactions, feelings, and opinions. This will help you develop a rough outline of key moments during the course that reflect your growth as a learner. To identify these moments, pose these questions to yourself: What happened? What was my reaction? What were my expectations and how were they different from what transpired? What did I learn?
• Critically think about your learning experiences and the course content . This will help you develop a deeper, more nuanced understanding about why these moments were significant or relevant to you. Use the ideas you formulated during the first stage of reflecting to help you think through these moments from both an academic and personal perspective. From an academic perspective, contemplate how the experience enhanced your understanding of a concept, theory, or skill. Ask yourself, did the experience confirm my previous understanding or challenge it in some way. As a result, did this highlight strengths or gaps in your current knowledge? From a personal perspective, think introspectively about why these experiences mattered, if previous expectations or assumptions were confirmed or refuted, and if this surprised, confused, or unnerved you in some way.
• Analyze how these experiences and your reactions to them will shape your future thinking and behavior . Reflection implies looking back, but the most important act of reflective writing is considering how beliefs, assumptions, opinions, and feelings were transformed in ways that better prepare you as a learner in the future. Note how this reflective analysis can lead to actions you will take as a result of your experiences, what you will do differently, and how you will apply what you learned in other courses or in professional practice.

Basic Structure and Writing Style

Reflective Background and Context

The first part of your reflection paper should briefly provide background and context in relation to the content or experiences that stood out to you. Highlight the settings, summarize the key readings, or narrate the experiences in relation to the course objectives. Provide background that sets the stage for your reflection. You do not need to go into great detail, but you should provide enough information for the reader to understand what sources of learning you are writing about [e.g., course readings, field experience, guest lecture, class discussions] and why they were important. This section should end with an explanatory thesis statement that expresses the central ideas of your paper and what you want the readers to know, believe, or understand after they finish reading your paper.

Reflective Interpretation

Drawing from your reflective analysis, this is where you can be personal, critical, and creative in expressing how you felt about the course content and learning experiences and how they influenced or altered your feelings, beliefs, assumptions, or biases about the subject of the course. This section is also where you explore the meaning of these experiences in the context of the course and how you gained an awareness of the connections between these moments and your own prior knowledge.

Guided by your thesis statement, a helpful approach is to interpret your learning throughout the course with a series of specific examples drawn from the course content and your learning experiences. These examples should be arranged in sequential order that illustrate your growth as a learner. Reflecting on each example can be done by: 1)  introducing a theme or moment that was meaningful to you, 2) describing your previous position about the learning moment and what you thought about it, 3) explaining how your perspective was challenged and/or changed and why, and 4) introspectively stating your current or new feelings, opinions, or beliefs about that experience in class.

It is important to include specific examples drawn from the course and placed within the context of your assumptions, thoughts, opinions, and feelings. A reflective narrative without specific examples does not provide an effective way for the reader to understand the relationship between the course content and how you grew as a learner.

Reflective Conclusions

The conclusion of your reflective paper should provide a summary of your thoughts, feelings, or opinions regarding what you learned about yourself as a result of taking the course. Here are several ways you can frame your conclusions based on the examples you interpreted and reflected on what they meant to you. Each example would need to be tied to the basic theme [thesis statement] of your reflective background section.

• Your reflective conclusions can be described in relation to any expectations you had before taking the class [e.g., “I expected the readings to not be relevant to my own experiences growing up in a rural community, but the research actually helped me see that the challenges of developing my identity as a child of immigrants was not that unusual...”].
• Your reflective conclusions can explain how what you learned about yourself will change your actions in the future [e.g., “During a discussion in class about the challenges of helping homeless people, I realized that many of these people hate living on the street but lack the ability to see a way out. This made me realize that I wanted to take more classes in psychology...”].
• Your reflective conclusions can describe major insights you experienced a critical junctures during the course and how these moments enhanced how you see yourself as a student learner [e.g., "The guest speaker from the Head Start program made me realize why I wanted to pursue a career in elementary education..."].
• Your reflective conclusions can reconfigure or reframe how you will approach professional practice and your understanding of your future career aspirations [e.g.,, "The course changed my perceptions about seeking a career in business finance because it made me realize I want to be more engaged in customer service..."]
• Your reflective conclusions can explore any learning you derived from the act of reflecting itself [e.g., “Reflecting on the course readings that described how minority students perceive campus activities helped me identify my own biases about the benefits of those activities in acclimating to campus life...”].

NOTE: The length of a reflective paper in the social sciences is usually less than a traditional research paper. However, don’t assume that writing a reflective paper is easier than writing a research paper. A well-conceived critical reflection paper often requires as much time and effort as a research paper because you must purposeful engage in thinking about your learning in ways that you may not be comfortable with or used to. This is particular true while preparing to write because reflective papers are not as structured as a traditional research paper and, therefore, you have to think deliberately about how you want to organize the paper and what elements of the course you want to reflect upon.

ANOTHER NOTE: Do not limit yourself to using only text in reflecting on your learning. If you believe it would be helpful, consider using creative modes of thought or expression such as, illustrations, photographs, or material objects that reflects an experience related to the subject of the course that was important to you [e.g., like a ticket stub to a renowned speaker on campus]. Whatever non-textual element you include, be sure to describe the object's relevance to your personal relationship to the course content.

Problems to Avoid

A reflective paper is not a “mind dump” . Reflective papers document your personal and emotional experiences and, therefore, they do not conform to rigid structures, or schema, to organize information. However, the paper should not be a disjointed, stream-of-consciousness narrative. Reflective papers are still academic pieces of writing that require organized thought, that use academic language and tone , and that apply intellectually-driven critical thinking to the course content and your learning experiences and their significance.

A reflective paper is not a research paper . If you are asked to reflect on a course reading, the reflection will obviously include some description of the research. However, the goal of reflective writing is not to present extraneous ideas to the reader or to "educate" them about the course. The goal is to share a story about your relationship with the learning objectives of the course. Therefore, unlike research papers, you are expected to write from a first person point of view which includes an introspective examination of your own opinions, feelings, and personal assumptions.

A reflection paper is not a book review . Descriptions of the course readings using your own words is not a reflective paper. Reflective writing should focus on how you understood the implications of and were challenged by the course in relation to your own lived experiences or personal assumptions, combined with explanations of how you grew as a student learner based on this internal dialogue. Remember that you are the central object of the paper, not the research materials.

A reflective paper is not an all-inclusive meditation. Do not try to cover everything. The scope of your paper should be well-defined and limited to your specific opinions, feelings, and beliefs about what you determine to be the most significant content of the course and in relation to the learning that took place. Reflections should be detailed enough to covey what you think is important, but your thoughts should be expressed concisely and coherently [as is true for any academic writing assignment].

Critical Reflection . Writing and Communication Centre, University of Waterloo; Critical Reflection: Journals, Opinions, & Reactions . University Writing Center, Texas A&M University; Connor-Greene, Patricia A. “Making Connections: Evaluating the Effectiveness of Journal Writing in Enhancing Student Learning.” Teaching of Psychology 27 (2000): 44-46; Good vs. Bad Reflection Papers , Franklin University; Dyment, Janet E. and Timothy S. O’Connell. "The Quality of Reflection in Student Journals: A Review of Limiting and Enabling Factors." Innovative Higher Education 35 (2010): 233-244: How to Write a Reflection Paper . Academic Skills, Trent University; Amelia TaraJane House. Reflection Paper . Cordia Harrington Center for Excellence, University of Arkansas; Ramlal, Alana, and Désirée S. Augustin. “Engaging Students in Reflective Writing: An Action Research Project.” Educational Action Research 28 (2020): 518-533; Writing a Reflection Paper . Writing Center, Lewis University; McGuire, Lisa, Kathy Lay, and Jon Peters. “Pedagogy of Reflective Writing in Professional Education.” Journal of the Scholarship of Teaching and Learning (2009): 93-107; Critical Reflection . Writing and Communication Centre, University of Waterloo; How Do I Write Reflectively? Academic Skills Toolkit, University of New South Wales Sydney; Reflective Writing . Skills@Library. University of Leeds; Walling, Anne, Johanna Shapiro, and Terry Ast. “What Makes a Good Reflective Paper?” Family Medicine 45 (2013): 7-12; Williams, Kate, Mary Woolliams, and Jane Spiro. Reflective Writing . 2nd edition. London: Red Globe Press, 2020; Yeh, Hui-Chin, Shih-hsien Yang, Jo Shan Fu, and Yen-Chen Shih. “Developing College Students’ Critical Thinking through Reflective Writing.” Higher Education Research and Development (2022): 1-16.

Writing Tip

Focus on Reflecting, Not on Describing

Minimal time and effort should be spent describing the course content you are asked to reflect upon. The purpose of a reflection assignment is to introspectively contemplate your reactions to and feeling about an element of the course. D eflecting the focus away from your own feelings by concentrating on describing the course content can happen particularly if "talking about yourself" [i.e., reflecting] makes you uncomfortable or it is intimidating. However, the intent of reflective writing is to overcome these inhibitions so as to maximize the benefits of introspectively assessing your learning experiences. Keep in mind that, if it is relevant, your feelings of discomfort could be a part of how you critically reflect on any challenges you had during the course [e.g., you realize this discomfort inhibited your willingness to ask questions during class, it fed into your propensity to procrastinate, or it made it difficult participating in groups].

Writing a Reflection Paper . Writing Center, Lewis University; Reflection Paper . Cordia Harrington Center for Excellence, University of Arkansas.

Another Writing Tip

Helpful Videos about Reflective Writing

These two short videos succinctly describe how to approach a reflective writing assignment. They are produced by the Academic Skills department at the University of Melbourne and the Skills Team of the University of Hull, respectively.

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How are Students’ Reflective Thinking for Problem Solving?

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Learning problem-solving concepts by reflecting on problem solving

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• Eleni Stroulia 1 &
• Ashok K. Goel 1  

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 784))

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Learning and problem solving are intimately related: problem solving determines the knowledge requirements of the reasoner which learning must fulfill, and learning enables improved problem-solving performance. Different models of problem solving, however, recognize different knowledge needs, and, as a result, set up different learning tasks. Some recent models analyze problem solving in terms of generic tasks, methods, and subtasks. These models require the learning of problem-solving concepts such as new tasks and new task decompositions. We view reflection as a core process for learning these problem-solving concepts. In this paper, we identify the learning issues raised by the task-structure framework of problem solving. We view the problem solver as an abstract device, and represent how it works in terms of a structure-behavior-function model which specifies how the knowledge and reasoning of the problem solver results in the accomplishment of its tasks. We describe how this model enables reflection, and how model-based reflection enables the reasoner to adapt its task structure to produce solutions of better quality. The Autognostic system illustrates this reflection process.

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D. Allemang: Understanding Programs as Devices, PhD Thesis, The Ohio State University (1990)

Google Scholar  

L. Baker, A.L. Brown: Metacognitive skills of reading. In: D. Pearson (ed.): A Handbook of reading research, New York: Longman (1984)

A. Barr: Meta-Knowledge and Cognition. Proceedings of the Sixth International Joint Conference on AI 31:33 (1979)

B. Chandrasekaran: Towards a functional architecture for intelligence based on generic information processing tasks. In Proceedings of Tenth International Joint Conference on Artificial Intelligence, 1183–1192, Milan (1987)

B. Chandrasekaran: Task Structures, Knowledge Acquisition and Machine Learning. Machine Learning 4:341–347 (1989)

W.J. Clancey: Heuristic Classification, Artificial Intelligence 27:289–350 (1985)

Article   Google Scholar  

R. Davis: Interactive transfer of expertise: Acquisition of new inference rules, Artificial Intelligence 12:121–157 (1977)

R. Davis: Meta-Rules: Reasoning about Control. Artificial Intelligence 15:179–222 (1980)

J.H. Flavell: First discussant's comments: What is memory development the development of? Human Development 14:272–278 (1971)

M. Freed, B. Krulwich, L. Birnbaum, G. Collins: Reasoning about performance intentions. In Proceedings of the Fourteenth Annual Conference of the Cognitive Science Society, 7–12 (1992)

D. Fisher, M. Pazzani: Computational Models of Concept Learning. In D.H. Fisher, M.J. Pazzani, and P. Langley (eds.): Concept Formation: Knowledge and Experience in Unsupervised Learning. Morgan Kaufmann. (1991)

A. Goel: Integration of Case-Based Reasoning and Model-Based Reasoning for Adaptive Design Problem Solving, PhD Thesis, The Ohio State University (1989)

A. Goel, T. Callantine, M. Shankar, B. Chandrasekaran: Representation, Organization, and Use of Topographic Models of Physical Spaces for Route Planning. In Proceedings of the Seventh IEEE Conference on AI Applications. 308–314, IEEE Computer Society Press (1991)

A. Goel, T. Callantine: An Experience-Based Approach to Navigational Route Planning. In Proceedings of the IEEE/RSJ International Conference on Intelligent Robotics and Systems (1992)

A. Howe: Analyzing Failure Recovery to Improve Planner Design. In Proceedings of the Tenth National Confrence on AI, 387–392 (1992)

K. Johnson: Exploiting a Functional Model of Problem Solving for Error Detection in Tutoring, PhD Thesis, The Ohio State University (1993)

R.H. Kluwe: Cognitive Knowledge and Executive Control: Metacognition. In D. R. Griffin (ed.): Animal Mind — Human Mind. Springer-Verlag, Berlin (1982)

D.R. Kuokka: The Deliberative Integration of Planning, Execution, and Learning, Carnegie Mellon, Computer Science, Technical Report CMU-CS-90-135 (1990)

J. McDermott: Preliminary steps toward a taxonomy of problem-solving methods, In Sandra Marcus (ed.): Automating Knowledge Acquisition for Expert Systems, Kluwer Academic Publishers (1988)

R.S. Michalski: Inferential learning theory as a basis for multi-strategy adaptive learning. In R.S. Michalski and G. Tecuci (eds.): Proceedings of the First International Workshop on Multistrategy Learning, 3–18, Harpers Ferry, WV (1991)

S. Minton: Qualitative results concerning the utility of explanation-based learning. Artificial Intelligence 42:363–392 (1990)

T.M. Mitchell, P.E. Utgoff, B. Nudel, R.B. Banerji Learning problem-solving heuristics through practice. In Proceedings of the Seventh International Joint Conference on AI 127–134 (1981)

T. Mitchell, J. Allen, P. Chalasani, J. Cheng, O. Etzioni, M. Ringuette, J. Schlimmer: Theo: A Framework for Self-Improving Systems. In K. VanLehn (ed.): Architectures for Intelligence, Lawrence Erlbaum (1989)

J. Piaget: Biology and Knowledge. University of Chicago Press (1971)

E. Plaza, J.L. Arcos: Reflection and Analogy in Memory-based Learning. In R. S. Michalski and G. Tecuci (eds.): Proceedings of the Second International Workshop on Multistrategy Learning (1993)

A. Ram, M.T. Cox: Introspective Reasoning Using Meta-Explanations for Multistrategy Learning. In R. S. Michalski and G. Tecuci (eds.): Machine Learning: A Multistrategy Approach IV. Morgan Kaufmann, San Mateo, CA (1992)

A. Samuel: Some studies in machine learning using the game of checkers. IBM Journal of R&D. (1959) Reprinted in Feigenbaum and Feldman (eds.): Computers and Thought (1963)

J.G. Sussman: A Computational Model of Skill Acquisition, American Elsevier, New York, (1975)

L. Steels: Components of Expertise. AI Magazine 11:30–49 (1990).

E. Stroulia, A. Goel: Functional Representation and Reasoning for Reflective Systems. Applied Artificial Intelligence: An International Journal (to appear). (1993)

M. Weintraub: An Explanation-Based Approach to Assigning Credit, PhD Thesis, The Ohio State University (1991)

P. Winston: Learning New Principles from Precedents and Exercises. Artificial Intelligence 19 (1982)

B.J. Wielinga, A.Th. Schreiber, J.A. Breuker: KADS: A modelling approach to knowledge engineering. In Knowledge Acquisition 4(1). Special issue “The KADS approach to knowledge engineering” (1992)

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Stroulia, E., Goel, A.K. (1994). Learning problem-solving concepts by reflecting on problem solving. In: Bergadano, F., De Raedt, L. (eds) Machine Learning: ECML-94. ECML 1994. Lecture Notes in Computer Science, vol 784. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57868-4_65

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Abstract: In this study, we investigated the effects of self-reflection in large language models (LLMs) on problem-solving performance. We instructed nine popular LLMs to answer a series of multiple-choice questions to provide a performance baseline. For each incorrectly answered question, we instructed eight types of self-reflecting LLM agents to reflect on their mistakes and provide themselves with guidance to improve problem-solving. Then, using this guidance, each self-reflecting agent attempted to re-answer the same questions. Our results indicate that LLM agents are able to significantly improve their problem-solving performance through self-reflection ($p < 0.001$). In addition, we compared the various types of self-reflection to determine their individual contribution to performance. All code and data are available on GitHub at this https URL

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Softening the sharp edges in mathematics.

For everyone whose relationship with mathematics is distant or broken, Jo Boaler , a professor at Stanford Graduate School of Education (GSE), has ideas for repairing it. She particularly wants young people to feel comfortable with numbers from the start — to approach the subject with playfulness and curiosity, not anxiety or dread.

“Most people have only ever experienced what I call narrow mathematics — a set of procedures they need to follow, at speed,” Boaler says. “Mathematics should be flexible, conceptual, a place where we play with ideas and make connections. If we open it up and invite more creativity, more diverse thinking, we can completely transform the experience.”

“Mathematics should be flexible, conceptual, a place where we play with ideas and make connections," says Professor Jo Boaler. (Photo: Robert Houser Photography)

Boaler, the Nomellini and Olivier Professor of Education at the GSE, is the co-founder and faculty director of Youcubed , a Stanford research center that provides resources for math learning that has reached more than 230 million students in over 140 countries. In 2013 Boaler, a former high school math teacher, produced “How to Learn Math,” the first massive open online course (MOOC) on mathematics education. She leads workshops and leadership summits for teachers and administrators, and her online courses have been taken by over a million users. 

In her new book, Math-ish: Finding Creativity, Diversity, and Meaning in Mathematics , Boaler argues for a broad, inclusive approach to math education, offering strategies and activities for learners at any age. We spoke with her about why creativity is an important part of mathematics, the impact of representing numbers visually and physically, and how what she calls “ishing” a math problem can help students make better sense of the answer. 

What do you mean by “math-ish” thinking?

It’s a way of thinking about numbers in the real world, which are usually imprecise estimates. If someone asks how old you are, how warm it is outside, how long it takes to drive to the airport – these are generally answered with what I call “ish” numbers, and that’s very different from the way we use and learn numbers in school.

In the book I share an example of a multiple-choice question from a nationwide exam where students are asked to estimate the sum of two fractions: 12/13 + 7/8. They’re given four choices for the closest answer: 1, 2, 19, or 21. Each of the fractions in the question is very close to 1, so the answer would be 2 — but the most common answer 13-year-olds gave was 19. The second most common was 21. 

I’m not surprised, because when students learn fractions, they often don’t learn to think conceptually or to consider the relationship between the numerator or denominator. They learn rules about creating common denominators and adding or subtracting the numerators, without making sense of the fraction as a whole. But stepping back and judging whether a calculation is reasonable might be the most valuable mathematical skill a person can develop.

But don’t you also risk sending the message that mathematical precision isn’t important? 

I’m not saying precision isn’t important. What I’m suggesting is that we ask students to estimate before they calculate, so when they come up with a precise answer, they’ll have a real sense for whether it makes sense. This also helps students learn how to move between big-picture and focused thinking, which are two different but equally important modes of reasoning.

Some people ask me, “Isn’t ‘ishing’ just estimating?” It is, but when we ask students to estimate, they often groan, thinking it’s yet another mathematical method. But when we ask them to “ish” a number, they're more willing to offer their thinking.

Ishing helps students develop a sense for numbers and shapes. It can help soften the sharp edges in mathematics, making it easier for kids to jump in and engage. It can buffer students against the dangers of perfectionism, which we know can be a damaging mind-set. I think we all need a little more ish in our lives. 

You also argue that mathematics should be taught in more visual ways. What do you mean by that? 

For most people, mathematics is an almost entirely symbolic, numerical experience. Any visuals are usually sterile images in a textbook, showing bisecting angles, or circles divided into slices. But the way we function in life is by developing models of things in our minds. Take a stapler: Knowing what it looks like, what it feels and sounds like, how to interact with it, how it changes things — all of that contributes to our understanding of how it works. 

There’s an activity we do with middle-school students where we show them an image of a 4 x 4 x 4 cm cube made up of smaller 1 cm cubes, like a Rubik’s Cube. The larger cube is dipped into a can of blue paint, and we ask the students, if they could take apart the little cubes, how many sides would be painted blue? Sometimes we give the students sugar cubes and have them physically build a larger 4 x 4 x 4 cube. This is an activity that leads into algebraic thinking. 

Some years back we were interviewing students a year after they’d done that activity in our summer camp and asked what had stayed with them. One student said, ‘I’m in geometry class now, and I still remember that  sugar cube, what it looked like and felt like.’ His class had been asked to estimate the volume of their shoes, and he said he’d imagined his shoes filled with 1 cm sugar cubes in order to solve that question. He had built a mental model of a cube.

When we learn about cubes, most of us don’t get to see and manipulate them. When we learn about square roots, we don’t take squares and look at their diagonals. We just manipulate numbers.

I wonder if people consider the physical representations more appropriate for younger kids.

That’s the thing — elementary school teachers are amazing at giving kids those experiences, but it dies out in middle school, and by high school it’s all symbolic. There’s a myth that there’s a hierarchy of sophistication where you start out with visual and physical representations and then build up to the symbolic. But so much of high-level mathematical work now is visual. Here in Silicon Valley, if you look at Tesla engineers, they're drawing, they're sketching, they're building models, and nobody says that's elementary mathematics.

Click to enlarge: A depiction of various ways to calculate 38 x 5, numerically and visually. (Image: Courtesy of Jo Boaler)

There’s an example in the book where you’ve asked students how they would calculate 38 x 5 in their heads, and they come up with several different ways of arriving at the same answer. The creativity is fascinating, but wouldn’t it be easier to teach students one standard method?

That narrow, rigid version of mathematics where there’s only one right approach is what most students experience, and it’s a big part of why people have such math trauma. It keeps them from realizing the full range and power of mathematics. When you only have students blindly memorizing math facts, they’re not developing number sense. They don’t learn how to use numbers flexibly in different situations. It also makes students who think differently believe there’s something wrong with them. 

When we open mathematics to acknowledge the different ways a concept or problem can be viewed, we also open the subject to many more students. Mathematical diversity, to me, is a concept that includes both the value of diversity in people and the diverse ways we can see and learn mathematics. When we bring those forms of diversity together, it’s powerful. If we want to value different ways of thinking and problem-solving in the world, we need to embrace mathematical diversity.

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