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Komatsu, Kotaro; Jones, Keith – Educational Studies in Mathematics, 2022
Proving and refuting are fundamental aspects of mathematical practice that are intertwined in mathematical activity in which conjectures and proofs are often produced and improved through the back-and-forth transition between attempts to prove and disprove. One aspect underexplored in the education literature is the connection between this…
Descriptors: Mathematics Instruction, Validity, Mathematical Logic, Knowledge Level
Krawitz, Janina; Chang, Yu-Ping; Yang, Kai-Lin; Schukajlow, Stanislaw – Educational Studies in Mathematics, 2022
To solve mathematical modelling problems, students must translate real-world situations, which are typically presented in text form, into mathematical models. To complete the translation process, the problem-solver must first understand the real-world situation. Therefore, reading comprehension can be considered an essential part of solving…
Descriptors: Reading Comprehension, Mathematical Models, Cross Cultural Studies, Grade 9
Sarouphim, Ketty M.; Chartouny, Madona – Educational Studies in Mathematics, 2017
The purpose of this study was to investigate gender differences in students' mathematics achievement and in their attitudes toward mathematics. Another purpose was to examine mathematics teachers' beliefs and their perceptions of their male and female students' ability. The sample consisted of 692 students (353 girls, 339 boys) between the ages of…
Descriptors: Foreign Countries, Mathematics, Mathematics Education, Mathematics Instruction
Komatsu, Kotaro – Educational Studies in Mathematics, 2016
The process of proofs and refutations described by Lakatos is essential in school mathematics to provide students with an opportunity to experience how mathematical knowledge develops dynamically within the discipline of mathematics. In this paper, a framework for describing student processes of proofs and refutations is constructed using a set of…
Descriptors: Mathematical Logic, Validity, Mathematics Instruction, Knowledge Level
Zahner, William – Educational Studies in Mathematics, 2015
This paper uses a multilevel analysis of mathematical reasoning rooted in Cultural Historical Activity Theory to examine how mathematical discourse and student reasoning about linear functions developed across 3 weeks in a ninth grade bilingual algebra class. Despite the teacher's expertise teaching with a conceptual focus, and her stated…
Descriptors: Algebra, Computation, Logical Thinking, Grade 9
Ronda, Erlina – Educational Studies in Mathematics, 2015
This paper describes five growth points in linking representations of function developed from a study of secondary school learners. Framed within the cognitivist perspective and process-object conception of function, the growth points were identified and described based on linear and quadratic function tasks learners can do and their strategies…
Descriptors: Secondary School Mathematics, Mathematics Instruction, Teaching Methods, Mathematical Concepts
Schukajlow, Stanislaw; Krug, André; Rakoczy, Katrin – Educational Studies in Mathematics, 2015
Prompting students to construct multiple solutions for modelling problems with vague conditions has been found to be an effective way to improve students' performance on interest-oriented measures. In the current study, we investigated the influence of this teaching element on students' performance. To assess the impact of prompting multiple…
Descriptors: Prompting, Mathematics Instruction, Grade 9, Experimental Groups
Wijaya, Ariyadi; van den Heuvel-Panhuizen, Marja; Doorman, Michiel – Educational Studies in Mathematics, 2015
Based on the findings of an error analysis revealing that Indonesian ninth- and tenth-graders had difficulties in solving context-based tasks, we investigated the opportunity-to-learn offered by Indonesian textbooks for solving context-based mathematics tasks and the relation of this opportunity-to-learn to students' difficulties in solving these…
Descriptors: Foreign Countries, Mathematics Instruction, Grade 9, Grade 10
Schukajlow, Stanislaw; Leiss, Dominik; Pekrun, Reinhard; Blum, Werner; Muller, Marcel; Messner, Rudolf – Educational Studies in Mathematics, 2012
In this study which was part of the DISUM-project, 224 ninth graders from 14 German classes from middle track schools (Realschule) were asked about their enjoyment, interest, value and self-efficacy expectations concerning three types of mathematical problems: intra-mathematical problems, word problems and modelling problems. Enjoyment, interest,…
Descriptors: Self Efficacy, Grade 9, Word Problems (Mathematics), Teaching Methods
Bansilal, Sarah – Educational Studies in Mathematics, 2011
This article presents a description of a South African mathematics teacher's struggles to mediate a new national assessment tool called the Common Tasks for Assessment with her grade 9 learners, who are unprepared for the assessment. The purpose of the study is to describe and to identify the constraints on the teacher's mediation attempts. The…
Descriptors: Foreign Countries, Mathematics Teachers, Educational Assessment, Grade 9
Zodik, Iris; Zaslavsky, Orit – Educational Studies in Mathematics, 2008
The main goal of the study reported in our paper is to characterize teachers' choice of examples in and for the mathematics classroom. Our data is based on 54 lesson observations of five different teachers. Altogether 15 groups of students were observed, three seventh grade, six eighth grade, and six ninth grade classes. The classes varied…
Descriptors: Mathematics Teachers, Secondary School Mathematics, Grade 9, Grade 8
Pugalee, David K. – Educational Studies in Mathematics, 2004
The purpose of this exploratory study was to investigate the impact of writing during mathematical problem solving. The study involved an analysis of ninth grade algebra students' written and verbal descriptions of their mathematical problem solving processes. Through this comparison, a better understanding of the connection between problem…
Descriptors: Problem Solving, Writing (Composition), Algebra, Grade 9