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Analysing Instrumented Justification: Unveiling Student’s Tool Use and Conceptual Understanding in the Prediction and Justification of Dynamic Behaviours
The study advances the instrumental approach to mathematics education (Drijvers et al.,
2013 ; Trouche,2003 ), aiming to elucidate the interplay...
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Paths of Justification in Israeli 7th Grade Mathematics Textbooks
When justifying a mathematical statement, textbooks often interweave several instances of justification, creating, what we term, paths of justification ...
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Justification in the Context of Elementary Grades: Justification to Develop and Provide Access to Mathematical Reasoning
Mathematical justification is the process of supporting mathematical claims and choices when solving problems or explaining why a claim or answer...
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Investigating a teacher-perspective on pedagogical mathematical practices: possibilities for using mathematical practice to develop pedagogy in mathematical coursework
One of the challenges of university mathematics courses in secondary teacher preparation is incorporating pedagogical discussions. The focus in a...
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Justification Across the Grade Bands
This chapter synthesizes ideas across the four chapters on justification by Thanheiser and Sugimoto (this volume), Lesseig and Lepak (this volume),...
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Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof
This book aims to advance ongoing debates in the field of mathematics and mathematics education regarding conceptions of argumentation,...
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Pursuing the traces of mathematical reasoning
Reasoning is the process of thinking used to make claims and reach conclusions. It is among the first skills that should be taught to students in...
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Emergence of Uncertainties and Mathematical Problems Through Collective Investigation on Routine Tasks
This article aims to illustrate how the collective resolution of routine mathematical tasks can give rise to uncertainties, fostering and supporting...
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How Can the Use of Digital Games in Mathematics Education Promote Students’ Mathematical Reasoning? A Qualitative Systematic Review
In this article, we conduct a qualitative systematic review of studies examining the use of digital games to promote students’ mathematical reasoning...
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Teaching practices that support revising definition drafts to adhere to mathematical norms
Definitions play an integral role in mathematics and mathematics classes. Yet, expectations for definitions and how they are intended to operate,...
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A Framework to Design Creativity-Fostering Mathematical Tasks
Fostering students’ mathematical creativity is important for their understanding and success in mathematics courses as well as their persistence in...
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Justification in the Context of High School: Co-constructing Content and Process
In this investigation, we used symbolic interactionism to examine the co-construction and enactment of justification norms and practices in a...
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Introduction to Mathematical Challenges for All Unraveling the Intricacy of Mathematical Challenge
In this introduction I explore multiple dimensions of mathematical challenge, including, but not limited to, mathematical, psychological, social, and...
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Designing Mathematical Programming Problems
The growing use of programming in mathematics classrooms presents a challenge linked to implementation in general and task design in particular. This...
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Meaning and Structure of Mathematical Connections in the Classroom
The making of mathematical connections in the classroom plays a dual role. While many studies highlight the importance of connections for the...
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Listening to learn: investigating how teacher leaders elicit and attend to students’ mathematical thinking in clinical interviews
Eliciting and attending to students’ thinking is an important component of teaching mathematics for understanding. Clinical interview protocols have...
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Strongly didactic contracts and mathematical work
This paper describes how the notion of the strongly didactic contract can serve to characterize the teaching adopted to implement a task in...
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Norms of mathematical definitions: imposing constraints, permitting choice, or both?
Definitions play an important role in mathematics by stipulating objects of interest to mathematicians in order to facilitate theory building....
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The Public Understanding of Mathematical Modelling (PUMM)
In public discourses, we see an increasing use of mathematical modelling terminology. However, it is unclear what ‘people in the street’ understand...
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Cognitive framework for blended mathematical sensemaking in science
BackgroundBlended mathematical sensemaking in science (“Math-Sci sensemaking”) involves deep conceptual understanding of quantitative relationships...
