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Showing 1 to 15 of 19 results Save | Export
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Liu, Qiushan; Braithwaite, David – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2023
Rational numbers are represented by multiple notations: fractions, decimals, and percentages. Whereas previous studies have investigated affordances of these notations for representing different types of information (DeWolf et al., 2015; Tian et al., 2020), the present study investigated their affordances for solving different types of arithmetic…
Descriptors: Fractions, Arithmetic, Mathematical Concepts, Affordances
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Kertil, Mahmut; Erbas, Ayhan Kursat; Cetinkaya, Bulent – International Journal of Science and Mathematics Education, 2023
This study examined a cohort of middle school pre-service mathematics teachers' understanding of the rate of change as they engaged in a model development sequence. By adopting a design-based research perspective, a model development sequence on the concept of rate of change has been designed and implemented as part of a mathematical modeling…
Descriptors: Preservice Teachers, Mathematics Teachers, Middle School Mathematics, Mathematics Instruction
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Erik Jacobson – Investigations in Mathematics Learning, 2024
This study used units coordination as a theoretical lens to investigate how whole number and fraction reasoning may be related for preservice teachers at the conclusion of a math methods class. The study contributes quantitative evidence that units coordination provides a common foundation for both mathematical knowledge for teaching whole number…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Instruction, Methods Courses
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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
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Husband, Marc – Australian Mathematics Education Journal, 2021
This article examines the mathematics learning experiences in proportional reasoning I created for pre-service teachers in my teacher education course in Canada. The approach aimed to enable pre-service teachers to work on and with their prior mathematics understandings, make connections that were particular to what emerged during group work, and…
Descriptors: Mathematics Education, Learning Experience, Mathematics Skills, Logical Thinking
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Coggins, Porter E., III; Glatzer, Tim – PRIMUS, 2020
We present an algorithm for a matrix-based Enigma-type encoder based on a variation of the Hill Cipher as an application of 2 × 2 matrices. In particular, students will use vector addition and 2 × 2 matrix multiplication by column vectors to simulate a matrix version of the German Enigma Encoding Machine as a basic example of cryptography. The…
Descriptors: Mathematics Instruction, Matrices, Technology, Addition
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Putra, Zetra Hainul – International Electronic Journal of Mathematics Education, 2019
The aim of this study is to investigate Danish pre-service teachers' (PSTs) mathematical and didactical knowledge of operations with rational numbers. This knowledge is studied through their collaborative activities to certain tasks related to the teaching of operations with rational numbers. An explicit model of the teachers' mathematical and…
Descriptors: Foreign Countries, Preservice Teachers, Mathematics Education, Numbers
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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
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Gleason, Brian – Mathematics Teacher, 2018
In this article, a mathematics teacher educator presents an activity designed to pique the interest of prospective secondary mathematics teachers who may doubt the value of learning abstract algebra for their chosen profession. Herein, he contemplates: what "is" intended by the widespread requirement that high school mathematics teachers…
Descriptors: Mathematics Instruction, Mathematics Teachers, Teacher Educators, Secondary Education
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Tekin Sitrava, Reyhan – European Journal of Educational Research, 2018
The aim of this qualitative case study is to investigate prospective mathematics teachers' subject matter knowledge of the underlying concepts of standard and nonstandard algorithms used to solve the problems with whole numbers. Twenty three prospective mathematics teachers enrolled in the Elementary Mathematics Education Program of one of the…
Descriptors: Foreign Countries, Case Studies, Preservice Teachers, Mathematics Teachers
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LaRochelle, Raymond; Lamb, Lisa; Nickerson, Susan – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
An important decision that professional development (PD) facilitators must make when preparing for activities with teachers is to select an appropriate tool for the intended learning goals of the PD (Sztajn, Borko, & Smith, 2017). One important and prevalent tool is artifacts of student thinking (e.g. Jacobs & Philipp, 2004). In this paper…
Descriptors: Faculty Development, Secondary School Teachers, Cognitive Processes, Mathematics Teachers
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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
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González-Calero, José Antonio; Arnau, David; Laserna-Belenguer, Belén – Educational Studies in Mathematics, 2015
An empirical study has been carried out to evaluate the potential of word order matching and static comparison as explanatory models of reversal error. Data was collected from 214 undergraduate students who translated a set of additive and multiplicative comparisons expressed in Spanish into algebraic language. In these multiplicative comparisons…
Descriptors: Error Patterns, Undergraduate Students, Spanish, Algebra
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Rushton, Sheryl J.; Hadley, Kristin M.; Stewart, Penée W. – Journal of the International Society for Teacher Education, 2016
Developing high levels of mathematical skills in students is a concern for teachers worldwide, since most of the fastest growing occupations require significant mathematics or science preparation. Teachers need to be prepared to teach mathematics successfully. If teachers are not fluent in simple mathematical calculations, they may not feel…
Descriptors: Mathematics Instruction, Preservice Teachers, Self Efficacy, Mathematics Skills
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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
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