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Armando Morales-Carballo; Miguel Díaz Cárdenas; Angie Damián Mojica – International Electronic Journal of Mathematics Education, 2024

This article presents a theoretical-didactic perspective on the formation and development of concepts concerning mathematical objects as a result of research on didactic difficulties in dealing with concepts in school. The theoretical foundation that supports the research is based on the contributions of the materialist approach to the theory of…

Descriptors: Mathematical Concepts, Concept Formation, Mathematics Instruction, Geometry

Melike Yigit Koyunkaya; Burcak Boz-Yaman – International Electronic Journal of Mathematics Education, 2023

This study aims to examine the changes in students' mental constructions of function transformation based on the designed activities, classroom discussions, exercises (ACE) teaching cycle in the light of the action, process, object, schema (APOS) theoretical framework. The study was conducted by seven volunteer students who were enrolled in…

Descriptors: Foreign Countries, Mathematics Education, Mathematical Concepts, Learning Processes

Hartman, JudithAnn R.; Hart, Sarah; Nelson, Eric Alan; Kirschner, Paul A. – International Electronic Journal of Mathematics Education, 2023

To learn mathematics, historically students had no choice but to memorize fundamental facts and apply memorized algorithms. Since 1995 in the US, all states have adopted standards to govern K-12 mathematics instruction, and in most, standards have de-emphasized memorization and emphasized reasoning based on concepts. This change assumed the brain…

Descriptors: Mathematics Instruction, Teaching Methods, Standards, Kindergarten

Budak, Kimberly Sirin; Akcay Ozkan, Zeynep – International Electronic Journal of Mathematics Education, 2022

In this paper, we report the analysis of thought processes used by Pre-Service Teachers' (PSTs') through clinical interviews as they solved an algebra task involving a linear pattern. The PST's were asked about a mathematical model they had constructed to describe a pattern problem. Our analysis suggests that conflict factors arise due to…

Descriptors: Preservice Teachers, Cognitive Processes, Algebra, Problem Solving

Morales Carballo, Armando; Damián Mojica, Angie; Marmolejo Vega, José Efrén – International Electronic Journal of Mathematics Education, 2022

A theoretical-didactic proposal based on variational ideas and the use of GeoGebra is described as a response to a local problem on the understanding of the concept of function and quadratic equation in pre-university students. The theoretical elements of this work are based on the understanding of concepts and the theory of semiotic registers and…

Descriptors: Mathematics Instruction, Educational Technology, Technology Uses in Education, Computer Software

Koskinen, Rauno; Pitkäniemi, Harri – International Electronic Journal of Mathematics Education, 2022

The premise on which our synthesis is based is the fragmentation of research focused on teaching and learning in mathematics. Our intention is to build an aggregate synthesis from these sources in the context of school education and meaningful learning. Our research targets the links between the different approaches used in teaching, interaction…

Descriptors: Mathematics Instruction, Teaching Methods, Context Effect, Relevance (Education)

Chamberlin, Michelle – International Electronic Journal of Mathematics Education, 2022

For teachers to provide students with meaningful instruction in area measurement, teachers need robust understandings of area. Here, I describe two cycles of a "lesson experiment" used to investigate prospective teachers' understandings of area units in an undergraduate mathematics class. For each cycle, I collected and analyzed the…

Descriptors: Preservice Teachers, Mathematics Instruction, Geometric Concepts, Measurement

Pielsticker, Felicitas – International Electronic Journal of Mathematics Education, 2022

The paper addresses concept formation processes of students in the field of geometry. More precisely, the paper deals with the questions of what knowledge do students activate about triangles in different contexts with different (digital) tools and furthermore what content-related meaning do they give to the concept of triangles? Methodologically,…

Descriptors: Geometry, Mathematical Concepts, Concept Formation, Case Studies

Asfaw, Ayanaw Yigletu; Weldeyesus, Kassa Michael; Ayele, Mulugeta Atnafu – International Electronic Journal of Mathematics Education, 2022

Three mathematics teacher educators who were assigned to teach fundamental concepts of algebra course in a teacher education college, as well as their prospective elementary mathematics teachers who took the course, took part in a job embedded, context-specific, and content-based comprehensive professional development (PD) program on assessment…

Descriptors: Algebra, Mathematics Instruction, Teacher Education Programs, Preservice Teachers

Elbehary, Samah Gamal Ahmed – International Electronic Journal of Mathematics Education, 2022

Probability signifies a mainstream strand in mathematics curricula. Nonetheless, many curricular documents prepared for teachers might not offer enough support. In such a situation, a further reflection on teachers' professional knowledge for teaching probability is demanded; especially, from the perspective of probabilistic reasoning (PoPR) that…

Descriptors: Probability, Mathematics Instruction, Mathematics Teachers, Pedagogical Content Knowledge

Svensson, Christina; Holmqvist, Mona – International Electronic Journal of Mathematics Education, 2021

The aim of this study is to explore pre-service teachers' procedural and conceptual understanding of pupils' understanding of mean value, before and after an intervention. Participants are 66 pre-service teachers, and two teacher educators. The data consists of five video-recorded lessons and pre-service teachers' pre- and post-test discussions.…

Descriptors: Preservice Teachers, Concept Formation, Intervention, Mathematical Concepts

Nurnberger-Haag, Julie; Singh, Rashmi; Wernet, Jamie L. W.; Alexander, Anita N. – International Electronic Journal of Mathematics Education, 2021

Some goals of mathematics teacher education include ensuring that pre-service teachers (PSTs) have strong content knowledge, the skill to anticipate and interpret student thinking, the ability to plan how to respond, and the ability to critically select resources for instruction. These goals are especially challenging for the topic of geometric…

Descriptors: Mathematics Instruction, Preservice Teacher Education, Preservice Teachers, Geometry

Nisawa, Yoshiki – International Electronic Journal of Mathematics Education, 2021

According to the Programme for International Student Assessment, functions constitute an important part of mathematical literacy. In Japan, students start learning about bivariate relationships in the fourth grade (at the age of 9). However, reports suggest that elementary school students and lower-level secondary school (junior high) students…

Descriptors: Concept Formation, Mathematical Concepts, Grade 4, Grade 5

Kwon, Hyunkyung; Capraro, Mary Margaret – International Electronic Journal of Mathematics Education, 2021

Problem-posing activities have been shown to motivate students' learning while promoting a multifaceted and interesting educational environment. Moreover, these activities enable students to be engaged in personal interpretations of their own mathematical thinking. The purpose of this study was to determine if using a handson learning intervention…

Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Student Motivation

Pielsticker, Felicitas – International Electronic Journal of Mathematics Education, 2021

The paper addresses concept formation processes of a student in the field of geometry. More precisely, the paper deals with the question of how to assist a student in a mathematical concept formation process -- in the context of area calculations in triangles -- with a specially designed learning environment based on the usage of 3D printed…

Descriptors: Concept Formation, Geometry, Geometric Concepts, Computation

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