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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
Hitt, Fernando; González-Martín, Alejandro S. – Educational Studies in Mathematics, 2015
Semiotic representations have been an important topic of study in mathematics education. Previous research implicitly placed more importance on the development of institutional representations of mathematical concepts in students rather than other types of representations. In the context of an extensive research project, in progress since 2005,…
Descriptors: Predictor Variables, Debate, Reflection, Cooperative Learning
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; 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
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