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Mathematical knowledge for teaching and mathematics didactic knowledge: a comparative study
This paper compares and contrasts two approaches that are widely used in the English- and German-speaking discourse on mathematics teacher knowledge:...
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German and Taiwanese secondary students’ mathematical modelling task value profiles and their relation to mathematical knowledge and modelling performance
Based on expectancy-value theory, this study adopted a person-centred approach to explore the heterogeneous profiles of secondary German and...
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Describing a teacher’s pedagogical mathematical knowledge in STEM teaching
Describing and analyzing teaching practice has been a focus of researchers interested in the interaction and connections between teachers’ content...
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Mathematical Knowledge of Early Algebra Exhibited by Pre-Service Early Childhood Education Teachers
This study analyzes the mathematical knowledge to teach early algebra exhibited by pre-service early childhood education teachers, from the...
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The Role of Picturebooks in Supporting the Mathematical Knowledge of Preschool Teacher Candidates
Is children’s literature only beneficial to children? Or do the benefits of children’s literature also extend to the knowledge and mathematical...
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Conceptions of teaching and justice as pivotal to mathematics teacher educators’ thinking about mathematical knowledge for teaching
Recent scholarship has explored mathematical demands faced by mathematics teacher educators and ways to support their development, but little...
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How pedagogical content knowledge sharpens prospective teachers’ focus when judging mathematical tasks: an eye-tracking study
Teachers’ ability to accurately judge difficulties of mathematical tasks is an essential aspect of their diagnostic competencies. Although research...
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A Framework for Mathematical Knowledge for Undergraduate Mathematics Tutors
Most institutions of higher learning offer undergraduate mathematics tutoring, yet little is known regarding the work tutors do or the knowledge...
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A prospective teacher’s conceptions about the nature of mathematical tasks and professional knowledge within task unfolding
This qualitative study aimed to identify the changes in a prospective’ conceptions about the nature of mathematical tasks and pedagogy in video cases...
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Mathematical Knowledge for Teaching Proof: Comparing Secondary Teachers, Pre-Service Secondary Teachers, and Undergraduate Majors
The calls for reasoning and proof to have a prominent place in secondary mathematics classrooms raise the question of knowledge that teachers need to...
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Mathematical imagination, knowledge and mindset
The present study had the purpose of investigating empirically the structure and relationships among mathematical imagination, mathematical knowledge...
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The Value of Historical Knowledge Through Challenging Mathematical Tasks
Learning mathematics does not simply mean acquiring/develo** a set of content knowledge. It also means being able to solve problems, think...
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The Ethics of Mathematical Knowledge: Imagination and Empathy to Produce Social and Ecological Solidarity
In this chapter, I focus on the ethics encapsulated in mathematical knowledge. I assume that there is more to our relationship with mathematics than...
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What problem-solving knowledge is required in mathematical teaching? A curricular approach
This study explores the knowledge required for teachers to teach problem solving (PS) from a Primary Mathematics Curriculum Guidelines perspective....
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Generating mathematical knowledge in the classroom through proof, refutation, and abductive reasoning
Proving and refuting are fundamental aspects of mathematical practice that are intertwined in mathematical activity in which conjectures and proofs...
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Special educators’ knowledge of student mathematical thinking
To anticipate and respond to the diverse ways of reasoning students with disabilities use to make sense in inclusive mathematics classrooms, special...
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Meta-mathematical aspects of definitions
The notion of definition is a central building block of mathematics. In addition to specific definitions, it is desirable that students learn about...
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Incorporating Indigenous Mathematical Knowledge into the Education Systems of Colombia and Chile (1990–2013)
The aim of this text is to present our view of the current panorama of teaching mathematical knowledge in the education systems in Colombia and Chile...
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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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Pre-service secondary teachers’ pedagogical content knowledge for the teaching of mathematical modelling
The article deals with the pedagogical content knowledge of mathematical modelling as part of the professional competence of pre-service teachers....
