Making Mathematical Thinking Visible & Supporting Diverse Learners
As educators strive to make mathematics more inclusive and accessible, two instructional strategies have gained traction for their potential to deepen students’ understanding and support learners who think and engage differently: journaling in math classrooms and accessible gamification design.
Journaling: Making Thinking Visible
What it is:
Math journaling asks students to write about their problem-solving processes, reflect on strategies used, and describe how they reached their conclusions. Unlike traditional worksheets that focus on correct answers, journals emphasize student reasoning and reflection.
Why it matters:
Educators and researchers highlight journaling as a tool that makes student thinking visible, helping both learners and teachers better understand how concepts are processed and where misconceptions may lie. By explaining how they solved a problem, not just what they solved, students practice metacognition and conceptual understanding, strengthening both confidence and competence. Journals become a dialogue between the learner and the mathematics, encouraging students to articulate reasoning in words, symbols, or diagrams.
Evidence of impact:
A recent empirical study with junior high students found that those who used mathematics journals showed significant improvements in problem-solving skills, conceptual understanding, and overall performance compared with peers receiving traditional instruction (Cuevas & Neal, 2021).
Teachers report that journaling increases communication about mathematics, reveals learners’ thought processes, and reduces anxiety by shifting focus from correctness to understanding.
Why it benefits diverse learners:
- Journals allow students who process information differently, including those with learning differences or language challenges, to express ideas in multiple modes (writing, drawings, diagrams).
- Reflective writing supports metacognitive growth, empowering students to monitor their own thinking and build strategic awareness.
Gamification: Intentional Design for Engagement
What it is:
Gamification embeds game design elements (like challenges, badges, progress indicators, immediate feedback, or narrative contexts) into math instruction. When intentionally designed with accessibility in mind, gamification can transform instruction into playful yet purposeful learning experiences.
Why it matters:
Recent research reveals that gamification, when thoughtfully implemented, can enhance student motivation and engagement in mathematics. A 2026 systematic review found small-to-moderate positive effects on motivation and emotional engagement when gamified elements aligned with students’ psychological needs for autonomy and competence (Ratinho et al., 2026).
Inclusive design for neurodiverse learners:
Emerging studies show that gamified hybrid learning environments designed for universally accessible participation can significantly improve focus, task completion, and learner motivation for neurodivergent students (including those with ADHD, autism, or dyslexia). These benefits are strongest when game elements are personalized to match sensory preferences, pacing needs, and cognitive styles, supporting engagement without overwhelming learners.
Practical benefits:
- Gamification can offer structured environments that reduce anxiety by providing clear expectations and immediate feedback.
- Cooperative game mechanics and levels that emphasize personal progress over competition help keep students engaged without triggering stress or discouragement, especially for learners who struggle with performance-oriented settings.
References:
Ratinho, E., Figueiredo, M., Estêvão, D., & Silva, P. (2026). Gamification on mathematics engagement and motivation in secondary school and higher education: A systematic review and meta-analysis. Educational Psychology Review, 38, Article 16. https://doi.org/10.1007/s10648-025-10108-1
Neal, J., & Cuevas, J. (2021). Prompted journal writing for increased metacognition in middle grades math (Master’s thesis). University of North Georgia, Institutional Repository. https://ir.ung.edu/work/sc/091fef54-f959-4257-9a17-226fcc1244e2