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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

Ulusoy, Fadime – International Journal for Mathematics Teaching and Learning, 2019

This study investigates early-years prospective teachers' definitions, examples, and non-examples of cylinder and prism. The data were collected from 72 early-years prospective teachers via written tasks and classroom discussions. In written tasks, they were requested to define and then to give different examples and non-examples of cylinder and…

Descriptors: Geometry, Geometric Concepts, Definitions, Demonstrations (Educational)

Weingberg, Paul Jason – International Journal for Mathematics Teaching and Learning, 2019

This study examines in-service teacher development around a pedagogical practice central to teaching and learning in mathematics education, "leading a classroom discussion." This practice is used as an artifact to support the development of a teacher's professional community. This work views making teaching practices public as central to…

Descriptors: Mathematics Instruction, Communities of Practice, Classroom Communication, Faculty Development

Gulkilik, Hilal; Kaplan, Hatice Aydan; Emul, Nida – International Journal for Mathematics Teaching and Learning, 2019

The purpose of this qualitative study was to analyze the relationship between argumentation and proof in terms of verbal, visual, and algebraic representations of mathematical concepts. We conducted task-based interviews based on geometric locus problems with six undergraduate mathematics teachers while they were working in pairs. We identified…

Descriptors: Persuasive Discourse, Mathematical Logic, Algebra, Public Colleges

Uygun, Tugba – International Journal for Mathematics Teaching and Learning, 2019

The purpose of the current article is to test and revise the hypothetical learning trajectory designed for teaching quadrilaterals by reporting the classroom mathematical practices emerged in a social learning environment developing preservice middle school mathematics teachers' understanding of quadrilaterals. Ten preservice teachers participated…

Descriptors: Mathematics Instruction, Classroom Techniques, Preservice Teachers, Middle School Mathematics

Özçakir, Bilal; Çakiroglu, Erdinç – International Journal for Mathematics Teaching and Learning, 2019

The purpose of the study was to investigate the effects of mathematics instruction supported by dynamic geometry activities on seventh grade students' achievements in the area of quadrilaterals, based on their van Hiele geometric thinking levels. The study followed a nonrandomized control group pretest and posttest research design. Participants of…

Descriptors: Instructional Effectiveness, Geometry, Mathematics Activities, Grade 7

Moss, Diana L.; Lamberg, Teruni – International Journal for Mathematics Teaching and Learning, 2019

This article describes a learning trajectory on expressions and equations based on the sixth-grade Common Core State Standards for Mathematics (NGA/CCSSO, 2010). A classroom teaching experiment using design research (Lamberg & Middleton, 2009) was conducted. The data was analysed using Corbin and Strauss' (2014) Constant Comparative method and…

Descriptors: Algebra, Equations (Mathematics), Mathematical Formulas, Grade 6

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