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Shinno, Yusuke – International Journal of Science and Mathematics Education, 2018
This paper reports on combining semiotic and discursive approaches to reification in classroom interactions. It focuses on the discursive characteristics and semiotic processes involved in the teaching and learning of square roots in a ninth grade classroom in Japan. The purpose of this study is to characterize the development of mathematical…
Descriptors: Foreign Countries, Grade 9, Secondary School Mathematics, Mathematical Concepts
Jao, Limin – International Journal of Science and Mathematics Education, 2017
For pre-service teachers (PSTs) who have been exposed to traditional approaches, teacher education courses can be a revelatory experience in their development as educators. This study explores if Canadian upper elementary/lower secondary (grades 4-10) PSTs change their beliefs about mathematics teaching as a result of taking a mathematics methods…
Descriptors: Preservice Teachers, Mathematics Instruction, Mathematics Teachers, Student Attitudes
Tchoshanov, Mourat; Cruz, Maria D.; Huereca, Karla; Shakirova, Kadriya; Shakirova, Liliana; Ibragimova, Elena N. – International Journal of Science and Mathematics Education, 2017
This mixed methods study examined an association between cognitive types of teachers' mathematical content knowledge and students' performance in lower secondary schools (grades 5 through 9). Teachers (N = 90) completed the Teacher Content Knowledge Survey (TCKS), which consisted of items measuring different cognitive types of teacher knowledge.…
Descriptors: Mathematics Teachers, Secondary School Mathematics, Mixed Methods Research, Mathematical Models
Ayalon, Michal; Watson, Anne; Lerman, Steve – International Journal of Science and Mathematics Education, 2016
Identifying and expressing relations between quantities is a key aspect of understanding and using functions. We are aiming to understand the development of functions understanding throughout school years in Israel. A survey instrument was developed with teachers and given to 20 high and average achieving students from each of years 7-11 and to 10…
Descriptors: Foreign Countries, Student Surveys, High Achievement, Secondary School Students
Nitsch, Renate; Fredebohm, Anneke; Bruder, Regina; Kelava, Augustin; Naccarella, Dominik; Leuders, Timo; Wirtz, Markus – International Journal of Science and Mathematics Education, 2015
In the subject matter of functional relationships, a student's ability to translate from one form of representation to another is seen as a central competence. In the course of the HEUREKO project (heuristic work with representations of functional relationships and the diagnosis of mathematical competencies of students), a theoretical competence…
Descriptors: Mathematics Instruction, Secondary School Mathematics, Mathematical Concepts, Mathematics Skills
Lin, John Jr-Hung; Lin, Sunny S. J. – International Journal of Science and Mathematics Education, 2014
The present study investigated (a) whether the perceived cognitive load was different when geometry problems with various levels of configuration comprehension were solved and (b) whether eye movements in comprehending geometry problems showed sources of cognitive loads. In the first investigation, three characteristics of geometry configurations…
Descriptors: Cognitive Processes, Difficulty Level, Geometry, Comprehension
Lin, Fou-Lai; Yang, Kai-Lin – International Journal of Science and Mathematics Education, 2007
A model of reading comprehension of geometric proofs (RCGP) has recently been proposed by the authors. This article further investigates students' development of such comprehension based on this model, looking at the relationship between students' reading comprehension and their prior knowledge and logical reasoning. The results show that (1)…
Descriptors: Reading Comprehension, Prior Learning, Grade 9, Geometric Concepts
Lin, Fou-Lai; Yang, Kai-Lin; Chen, Chuang-Yih – International Journal of Science and Mathematics Education, 2004
Three issues about students' reasoning, proving and understanding proof in number patterns are investigated in this paper. The first is to elaborate the features of junior high students' reasoning on linear and quadratic number patterns. The second is to study the relationships between 9th graders' justification of mathematical statements about…
Descriptors: Grade 9, Geometric Concepts, Algebra, Mathematics Instruction