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Ortiz, Enrique; Eisenreich, Heidi A.; Tapp, Laura E. K. – International Journal for Mathematics Teaching and Learning, 2019

The goal of this study is to analyze undergraduate elementary school pre-service teachers' conceptions and misconceptions of physical and virtual manipulative materials using an interpretive "framework." The "framework" involved the use of the "Concrete," "Pictorial" and "Abstract cognitive levels"…

Descriptors: Mathematics Instruction, Teaching Methods, Manipulative Materials, Undergraduate Study

Lai, Mun Yee; Kinnear, Virginia; Fung, Chun Ip – International Journal for Mathematics Teaching and Learning, 2019

This is a position paper in which we argue for "Teaching for Mathematising" as a pedagogy that supports teaching mathematics for understanding in primary school. Mathematics education in Australia currently emphasises teaching for mathematical understanding, a shift that redirects children's learning from merely memorising computation…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Comprehension, Knowledge Level

Bossé, Michael J.; Ringler, Marjorie Campo; Bayaga, Anass; Fountain, Catherine; Young, Erica Slate – International Journal for Mathematics Teaching and Learning, 2018

Research in second language acquisition and the learning of mathematics has matured through long, albeit disconnected, histories. This study examines how theories and models of second language acquisition can be applied to the learning of mathematics and, through this, develops a novel framework defining stages in the learning of mathematics. This…

Descriptors: Second Language Learning, Mathematics Instruction, Teaching Methods, Cognitive Processes

Haara, Frode Olav – International Journal for Mathematics Teaching and Learning, 2018

Emphasis on the development of the inner qualities thought to make up pedagogical entrepreneurship and use of such entrepreneurship as a strategy in mathematics teaching and learning could be expected to strengthen students' development of mathematical literacy. This is because problem solving, local cultures and resources, authenticity and action…

Descriptors: Mathematics Instruction, Teaching Methods, Entrepreneurship, Problem Solving

Kim, Hyung Won – International Journal for Mathematics Teaching and Learning, 2018

Research demonstrates a disjuncture between the practices encouraged by teacher education programs and what teachers actually do in the classroom. It also informs us that the cognitive and social characteristics of individual teachers such as their attitudes, beliefs and knowledge contribute to their classroom practices. This qualitative study…

Descriptors: Secondary School Teachers, Mathematics Teachers, Secondary School Mathematics, Professional Identity

Forsythe, Susan K. – International Journal for Mathematics Teaching and Learning, 2018

This paper describes how a dynamic figure was used as the basis for a task designed to support students in developing the hierarchical classification of the kites and their subsets. Following on from a previous study using the task with pairs of students, I describe how I embedded the task into a pedagogical sequence of activities, which included…

Descriptors: Mathematics Instruction, Teaching Methods, Concept Formation, Geometric Concepts

Coskun, Sumeyra Dogan; Bostan, Mine Isiksal – International Journal for Mathematics Teaching and Learning, 2018

The purpose of this paper is to investigate a novice primary teacher's mathematical knowledge in teaching on area measurement. Data were collected from a novice primary teacher of fourteen students in a primary school located in Ankara, Turkey using field notes, video recordings of lessons, and audio recordings of interviews before and after her…

Descriptors: Beginning Teachers, Elementary School Teachers, Elementary School Mathematics, Mathematics Instruction

Polotskaia, Elena – International Journal for Mathematics Teaching and Learning, 2017

The main goal of this paper is to show how Vasily Davydov's powerful ideas about the nature of mathematical thinking and learning can transform the teaching and learning of additive word problem solving. The name Vasily Davydov is well known in the field of mathematics education in Russia. However, the transformative value of Davydov's theoretical…

Descriptors: Models, Mathematics Instruction, Foreign Countries, Problem Solving

Eriksson, Inger; Jansson, Anders – International Journal for Mathematics Teaching and Learning, 2017

The issue of this article is to identify and discuss what conditions may be necessary to build into tasks to make it likely for students to be involved in an algebraic Learning Activity inspired by Davydov. Data from a pilot study was used in which a group of students (N = 28) in grade 1 (7-year-olds) were invited to participate in discussions and…

Descriptors: Algebra, Mathematics Instruction, Young Children, Pilot Projects

Venenciano, Linda – International Journal for Mathematics Teaching and Learning, 2017

In this study we explore possible long-term effects of an adaptation of the El'konin-Davydov elementary grades curriculum, Measure Up or MU. The objectives for the study are to assess how students relate an equation of nonnumeric quantities to a length representation, and if former MU students develop and retain a perspective characteristic of…

Descriptors: Mathematics Instruction, Mathematical Concepts, Qualitative Research, Case Studies

Fellus, Osnat; Biton, Yaniv – International Journal for Mathematics Teaching and Learning, 2017

That mathematics education has been one of the central concerns of educational systems worldwide is no secret. It is also an established consensus that as far back as eighty years ago, Russian psychologists such as Vygotsky, Luria, Meshcheryakov, and Davydov have pioneered work that contributed to the understanding of teaching and learning and…

Descriptors: Mathematics Education, Professional Personnel, Teaching Methods, Philosophy

Nivera, Gladys C. – International Journal for Mathematics Teaching and Learning, 2017

A mathematical investigation (MI) encapsulates the reform movement in mathematics education by addressing content and process simultaneously and providing a novel opportunity for students to develop thinking skills and good mental habits. However, introducing MI to teachers and students who are used to routinised teaching approaches and…

Descriptors: Mathematics Instruction, Teaching Methods, Thinking Skills, High School Students

Gningue, Serigne Mbaye – International Journal for Mathematics Teaching and Learning, 2016

This paper is written in honor of Zoltan Paul Dienes, an internationally renowned mathematician and educator, who passed away in January 2014. It is an attempt to describe, analyze and apply Dienes' theory on how mathematical structures can be taught by applying his four principles of learning upon which he believed a teacher can base concept…

Descriptors: Mathematics Instruction, Mathematics Teachers, Algebra, Profiles

Doruk, Bekir Kürsat – International Journal for Mathematics Teaching and Learning, 2016

Researchers have proposed a variety of methods to make a connection between real life and mathematics so that it can be learned in a practical way and enable people to utilise mathematics in their daily lives. Model-eliciting activities (MEAs) were developed to fulfil this need and are very capable of serving this purpose. The reason MEAs are so…

Descriptors: Mathematics, Mathematics Instruction, Mathematics Education, Foreign Countries

Trinick, Robyn; Ledger, Gail; Major, Karen; Perger, Pamela – International Journal for Mathematics Teaching and Learning, 2016

Connections between music and mathematics have been of interest to scholars as far back as the time of Pythagoras. In Aotearoa-New Zealand, the use of songs and chants as aids for memorising information such as number patterns and names of geometrical shapes is common practice in early childhood centres and primary classrooms. While such practices…

Descriptors: Foreign Countries, Mathematics Education, Music Education, Interdisciplinary Approach