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Lee, Ji-Eun; Lee, Mi Yeon – Journal of Mathematics Teacher Education, 2023
This study is an examination of 79 elementary prospective teachers' (PSTs') capacity for recognizing the core ideas involved in modeling fraction addition problems and their difficulties in solving and presenting the process of fraction addition using area, length, and set models. PSTs completed a written task in which they represented the process…
Descriptors: Elementary School Teachers, Preservice Teachers, Teacher Attitudes, Barriers
Wessman-Enzinger, Nicole M.; Tobias, Jennifer M. – Journal of Mathematics Teacher Education, 2022
Elementary and middle school prospective teachers participated in semi-structured problem posing for integer addition and subtraction. The prospective teachers (n = 98) posed a variety of different stories, but this paper focuses on the temperature stories they posed. Results include descriptions of their posed temperature stories through the lens…
Descriptors: Preservice Teachers, Elementary School Teachers, Problem Solving, Addition
Çigdem Kiliç – Interactive Learning Environments, 2024
The purpose of this study is to assess the fraction addition problems posed by pre-service teachers using digital storytelling and to identify their perspectives on this activity. 69 mathematics teacher candidates participated in the study. The research comprises two sections. Participants were expected to pose a problem via digital storytelling…
Descriptors: Fractions, Addition, Problem Solving, Word Problems (Mathematics)
Julia E. Calabrese; Mary Margaret Capraro; Radhika Viruru – School Science and Mathematics, 2024
Despite problem posing's prominence in mathematics education research, its implementation in classrooms is limited. Therefore, teacher educators should incorporate problem posing tasks into preparation programs to help prospective teachers gain confidence in their abilities. One approach to teaching problem posing includes providing examples. The…
Descriptors: Semantics, Preservice Teachers, Teacher Education Programs, Self Efficacy
Erdem, Emrullah – Educational Research Quarterly, 2022
The present study aimed to examine the opinions of in-and preservice middle school mathematics teachers about teaching four operations with integers through "number line" and/or "counters". Participants were 42 middle school mathematics teachers and 51 pre-service mathematics teachers. The data were collected through open-ended…
Descriptors: Middle School Teachers, Mathematics Teachers, Preservice Teachers, Teacher Attitudes
Dogan-Coskun, Sumeyra – International Journal of Instruction, 2019
The purpose of this study is to analyze pre-service elementary teachers' problems in terms of the different meanings of the addition of fractions and to determine the types of errors made in these problems. Data were collected from 83 pre-service elementary teachers in the spring semester of the 2016-2017 academic year by means of a problem posing…
Descriptors: Preservice Teachers, Elementary Education, Addition, Fractions
Kang, Rui; Liu, Di – International Journal of Science and Mathematics Education, 2018
This article describes a study of how Chinese preservice teachers unpacked a learning goal pertaining to adding fractions and understanding the concepts underlying the operation. Based on work in the USA by Morris, Hiebert, and Spizter ("Journal for Research in Mathematics Education," 40(5), 491-529, 2009), 50 Chinese preservice teachers…
Descriptors: Foreign Countries, Preservice Teachers, Fractions, Addition
Peled, Irit; Klemer, Anat – Research in Mathematics Education, 2018
The crucial role of teachers in introducing integers to children is highlighted in chapters 8-10, comprising this section. The three chapters discuss (prospective) teachers' conceptions of integer equations, of children's thinking about integer expressions, and of the role of some didactical models used in teaching integer addition and…
Descriptors: Mathematics Teachers, Mathematics Instruction, Pedagogical Content Knowledge, Numbers
Tobia, Jennifer M.; Wessman-Enzinger, Nicole M.; Olanoff, Dana – Research in Mathematics Education, 2018
The study reported on in this chapter describes the justifications that elementary and middle school prospective teachers (PTs) made as they examined the temperature story that a Grade 5 student posed for an integer subtraction number sentence. The ways that the PTs made sense of the student's story that used integer subtraction as distance are…
Descriptors: Preservice Teachers, Elementary School Teachers, Middle School Teachers, Mathematics Instruction
Bofferding, Laura, Ed.; Wessman-Enzinger, Nicole, Ed. – Research in Mathematics Education, 2018
Over the past few decades there has been increased interest in how students and teachers think and learn about negative numbers from a variety of perspectives. In particular, there has been debate about when integers should be taught and how to teach them to best support students' learning. This book brings together recent work from researchers to…
Descriptors: Addition, Subtraction, Numeracy, Thinking Skills
Isik, Cemalettin – Higher Education Studies, 2018
In this study, it was aimed to analyze the structure of prospective middle school mathematics teachers' problems posed with regard to given symbolic representation including addition and subtraction operations with integers. The study conducted with 96 last grade elementary school mathematics teacher candidates studying in Faculty of Education of…
Descriptors: Case Studies, Semi Structured Interviews, Preservice Teachers, Mathematics Teachers
Heckler, Andrew F.; Scaife, Thomas M. – Physical Review Special Topics - Physics Education Research, 2015
A small number of studies have investigated student understanding of vector addition and subtraction in generic or introductory physics contexts, but in almost all cases the questions posed were in the vector arrow representation. In a series of experiments involving over 1000 students and several semesters, we investigated student understanding…
Descriptors: Science Instruction, Physics, Scientific Concepts, Concept Formation
Siregar, Johannes Hamonangan; Wiyanti, Wiwik; Wakhyuningsih, Nur Safitri; Godjali, Ali – Indonesian Mathematical Society Journal on Mathematics Education, 2014
We propose learning Matematika GASING to help students better understand the addition material. Matematika GASING is a way of learning mathematics in an easy, fun and enjoyable fashion. GASING is short for GAmpang, aSyIk, and menyenaNGkan (Bahasa Indonesia for easy, fun and enjoyable). It was originally developed by Prof. Yohanes Surya at the…
Descriptors: Mathematics Instruction, Teaching Methods, Addition, Foreign Countries
Philipp, Randolph A.; Hawthorne, Casey – Teaching Children Mathematics, 2015
Although fraction operations are procedurally straightforward, they are complex, because they require learners to conceptualize different units and view quantities in multiple ways. Prospective secondary school teachers sometimes provide an algebraic explanation for inverting and multiplying when dividing fractions. That authors of this article…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Concepts, Secondary School Teachers
Kinda, Shigehiro – Journal of Mathematical Behavior, 2013
Students are presented with problems involving three scenario types of addition and subtraction in elementary mathematics: one dynamic ("Change") and two static ("Combine, Compare"). Previous studies have indicated that the dynamic type is easier for school children, whereas the static types are more difficult and comprehended only gradually…
Descriptors: Subtraction, Mathematics Education, Addition, Foreign Countries
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