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Bossé, Michael J.; Bayaga, Anass; Fountain, Catherine; Young, Erica Slate – International Journal for Mathematics Teaching and Learning, 2019

This study investigates representational code-switching (RCS) by considering three high school students' communications in the process of comparing and contrasting pairs of representations (e.g., equation and graph) in the context of rational functions. Supporting this study is research in the realms of students interacting with mathematical…

Descriptors: Code Switching (Language), Mathematics Instruction, Mathematical Concepts, Concept Formation

Özgen, Kemal; Aydin, Mehmet; Geçic, Mehmet Ertürk; Bayram, Baran – International Journal for Mathematics Teaching and Learning, 2019

The purpose of this study was to investigate eighth grade students' skills in different problem-posing situations. Problem-posing situations include free, semi-structured and structured problem-posing situations. The study was conducted using case study methodology, which is within the scope of descriptive research. The study was conducted with…

Descriptors: Grade 8, Problem Solving, Problem Sets, Foreign Countries

Muir, Tracey – International Journal for Mathematics Teaching and Learning, 2019

The concept of flipping the classroom and flipped learning is becoming increasingly more popular in secondary schools. Although more prevalent in tertiary teaching, flipped learning has a number of affordances that may address the challenging demands of teaching secondary mathematics. While enactments of the approach vary, flipped learning…

Descriptors: Secondary School Mathematics, Secondary School Students, Mathematics Instruction, Blended Learning

Krajcevski, Milé; Sears, Ruthmae – International Journal for Mathematics Teaching and Learning, 2019

In this paper, we demonstrate how atypical visual representations of a triangle, square or a parallelogram may hinder students' understanding of a median and altitude. We analyze responses and reasoning given by 16 preservice middle school teachers in a Geometry Connection class. Particularly, the data were garnered from three specific questions…

Descriptors: Preservice Teachers, Mathematics Education, Visualization, Misconceptions

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

Özaltun Çelik, Aytug; Bukova Güzel, Esra – International Journal for Mathematics Teaching and Learning, 2018

The aim of this study is to explain how to shape the lesson study designed for improving mathematics teachers' knowledge of student thinking and to uncover the evidences of the mathematics teachers' knowledge of student thinking in their lessons. The lesson study composed of three cycles with five stages was carried out with three mathematics…

Descriptors: Communities of Practice, Teacher Collaboration, Mathematics Teachers, 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

Toluk-Ucar, Zulbiye; Bozkus, Figen – International Journal for Mathematics Teaching and Learning, 2018

The purpose of this study was to investigate how prospective elementary school mathematics teachers and elementary school students' ability to distinguish proportional situations from nonproportional situations differ or are alike. Participants of the study were 319 prospective primary and middle school teachers and 320 elementary school students…

Descriptors: Elementary School Students, Preservice Teachers, Mathematics Instruction, Elementary Education

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

Shumway, Jessica F.; Jordan, Kerry E. – International Journal for Mathematics Teaching and Learning, 2018

The purpose of this study was to explore the variations in students' achievement on computational fluency assessments and variations in strategies for solving computation problems. Computational fluency was defined as a student's ability to compute flexibly, accurately, efficiently, and appropriately. Seven- and eight-year-old students completed…

Descriptors: Computation, Scores, Mathematics Instruction, Interviews

Hurst, Chris; Huntley, Ray – International Journal for Mathematics Teaching and Learning, 2018

Multiplicative thinking is a critical component of mathematics which largely determines the extent to which people develop mathematical understanding beyond middle primary years. We contend that there are several major issues, one being that much teaching about multiplicative ideas is focussed on algorithms and procedures. An associated issue is…

Descriptors: Mathematics, Multiplication, Mathematical Logic, Mathematics Instruction

Karakus, Fatih – International Journal for Mathematics Teaching and Learning, 2018

Although the topic of division by zero has been widely discussed in the literature, this subject is still confusing for students, pre-service teachers and teachers. Because of this, teachers at various grade levels may encounter difficulties in conveying the concept to their students. Therefore, in order to provide students with a strong…

Descriptors: Preservice Teachers, Pedagogical Content Knowledge, Arithmetic, Mathematics Instruction