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James Drimalla; Brady A. Tyburski; Aida Alibek – For the Learning of Mathematics, 2024

Emerging mathematics education researchers in the United States need to be better equipped to attend to the philosophical backgrounds of theories used in research. Thus, doctoral programs must provide students with sustained space to reflect on the philosophical backgrounds of theories and attend to their worldviews to ensure students are well…

Descriptors: Mathematics Education, Theories, Doctoral Programs, Educational Research

Felix Lensing – For the Learning of Mathematics, 2024

Research in mathematics education constantly oscillates between theoretical or 'Is' questions and practical or 'Ought' questions: Researchers are not only pursuing theoretical questions by investigating what those involved in the teaching and learning of mathematics do, but they are also working on practical recommendations for what they ought to…

Descriptors: Mathematics Education, Educational Research, Teaching Methods, Learning Processes

Eva Elise Tvedt; Tamsin Meaney; Toril Eskeland Rangnes; Troels Lange – For the Learning of Mathematics, 2024

Learning mathematics is often justified as supporting students to make rational decisions, an important goal given the misinformation spread through social media every day. However, when asking preservice teachers to engage in a critical mathematics education activity in which they had to produce an argumentation that would persuade people to…

Descriptors: Persuasive Discourse, Credibility, Preservice Teachers, Mathematics Education

Tuohilampi, Laura; Nieminen, Juuso Henrik; Beswick, Kim – For the Learning of Mathematics, 2023

When a Year 7 student physically reacted to a prompt of another student by anxiously drumming the desk with his ruler, exclaiming "uuuuhh", the initial thought of the observing researcher, Laura, was: "this is an interesting account". This started a reflective journey of first applying robust research methodologies to the…

Descriptors: Logical Thinking, Problem Solving, Grade 7, Researchers

Swidan, Osama; Cusi, Annalisa; Robutti, Ornella; Arzarello, Ferdinando – For the Learning of Mathematics, 2023

This paper introduces a model built upon the Method of Varying Inquiry, offering a didactical approach to problem posing and solving activities that stimulates inquiry-based learning in mathematics classrooms. The model combines the inquiry-based framework with the variation theory and with specific didactical and theoretical elements (the…

Descriptors: Teaching Methods, Mathematics Instruction, Inquiry, Active Learning

Scheiner, Thorsten; Bowers, David M. – For the Learning of Mathematics, 2023

This paper problematizes the metaphors of unpacking, deconstructing, and decompressing mathematics that are prevalent in discourses about mathematics teacher knowledge. It is argued that the logic of these metaphors is based on the reversibility of packing, constructing, and compressing mathematics and seems to suggest the view that knowledge is…

Descriptors: Mathematics Instruction, Teaching Methods, Colonialism, Mathematics Teachers

Panorkou, Nicole; Germia, Erell – For the Learning of Mathematics, 2023

In this article, we address a call by Thompson and Carlson to directly contribute to defining the variation of students' reasoning about varying quantities. We show that students as young as in sixth grade can engage in complex forms of reasoning about multiple quantities in contexts that involve exploring science phenomena using interactive…

Descriptors: Elementary School Students, Grade 6, Mathematics Skills, Thinking Skills

Dooley, Thérèse; Grimes, Paul – For the Learning of Mathematics, 2023

In this article, we analyse a script of an imagined classroom interaction from the perspectives of politeness and positioning. The script was written by a prospective teacher, Cara, as part of her Lesson Play. The Lesson Play was prompted by her reflection on how the needs of students who are disaffected with mathematics might be met, an issue…

Descriptors: Mathematics Instruction, Classroom Communication, Lesson Plans, Preservice Teachers

Nolan, Kathleen; Borden, Lisa Lunney – For the Learning of Mathematics, 2023

Grounded in a desire to explore how the field of culturally responsive pedagogy (CRP) and its connected sub-fields is constructed/shaped in and through mathematics education research, the study reported on in this paper sought to understand how researchers/scholars situate, or position their research. The study began from a conceptualization of…

Descriptors: Mathematics Education, Educational Research, Researchers, Culturally Relevant Education

Barwell, Richard – For the Learning of Mathematics, 2023

Our planet is facing a biodiversity crisis and mathematics is involved. In this article, I focus on reports of a wolf hunt to examine different ways in which mathematics contributes to this crisis, shapes our understanding of the ecosystem and guides future actions. My examination contributes to understanding the ethical dimension of mathematics…

Descriptors: Biodiversity, Mathematics Instruction, Mathematical Models, Poetry

Teledahl, Anna; Kilhamn, Cecilia; Helenius, Ola; Ahl, Linda Marie – For the Learning of Mathematics, 2023

Mathematical writing in school is difficult to teach. Reasons include that it is a domain in which there are rules for some parts of the writing like for example mathematical notation while others must be negotiated locally in the classroom. Writing is also seldom separated from the process of solving mathematical problems, creating a situation…

Descriptors: Mathematics Instruction, Problem Solving, Teaching Methods, Instructional Design

Yusuke Uegatani; Hiroki Otani – For the Learning of Mathematics, 2023

This paper aims to reveal the potential of inferentialism, an emerging philosophy in mathematics education, to extend contemporary constructivist research regarding conceptual development. Going against the traditional view of a notion as the name of a corresponding concept and a constructivist way of naming second-order models, we provide a new…

Descriptors: Inferences, Constructivism (Learning), Mathematics Education, Educational Philosophy

Hilja Lisa Huru; Annica Andersson; David Wagner – For the Learning of Mathematics, 2023

We explore how the concept of abstraction, which is central to mathematical activity, can lead to detachment or attachment to land, nature, culture, language, and heritage in Indigenous contexts. We wonder if students detach themselves from mathematics because they feel mathematics asking them to detach themselves from people and places to whom…

Descriptors: Abstract Reasoning, Mathematics Education, Alienation, Relevance (Education)

Bettina Dahl; Hans Hüttel; Jakob Gulddahl Rasmussen; Morten Grud Rasmussen – For the Learning of Mathematics, 2023

Many universities throughout the world apply student-centered approaches. Common to these is that projects, problems, challenges etc. stem from "real life". Mathematics is an effective tool to solve problems, but in this paper, we discuss how we reconcile the fact that mathematics is both a pure and an applied discipline with…

Descriptors: Problem Based Learning, Student Centered Learning, Universities, Problem Solving

Alessandro Ramploud; Silvia Funghi; Maria Mellone – For the Learning of Mathematics, 2023

How do teachers relate to the "conflicts" that exist between scientific research findings and school institutional demands? Starting with a "provocative" statement by a primary school teacher, we interviewed eleven teachers asking them to express their opinions on this statement. Based on Brown's rereading of the four…

Descriptors: Discourse Analysis, Ethics, Teacher Attitudes, Elementary School Teachers