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Pitta-Pantazi, Demetra; Chimoni, Maria; Christou, Constantinos – International Journal of Science and Mathematics Education, 2020

Central in the frameworks that describe algebra from K-12 is the idea that algebraic thinking is not a single construct, but consists of several algebraic thinking strands. Validation studies exploring this idea are relatively scarce. This study used structural equation modeling techniques to analyze data of middle school students' performance on…

Descriptors: Middle School Students, Middle School Mathematics, Algebra, Mathematics Skills

Demiray, Esra; Isiksal Bostan, Mine – International Journal of Science and Mathematics Education, 2017

The purposes of this study are to investigate Turkish pre-service middle school mathematics teachers' ability in conducting valid proofs for statements regarding numbers and algebra in terms of their year of enrollment in a teacher education program, to determine the proof methods used in their valid proofs, and to examine the reasons for their…

Descriptors: Foreign Countries, Preservice Teachers, Middle School Teachers, Mathematics Teachers

Ayalon, Michal; Even, Ruhama – International Journal of Science and Mathematics Education, 2016

This study examines how students' opportunities to engage in argumentative activity are shaped by the teacher, the class, and the mathematical topic. It compares the argumentative activity between two classes taught by the same teacher using the same textbook and across two beginning algebra topics--investigating algebraic expressions and…

Descriptors: Secondary School Students, Grade 7, Persuasive Discourse, Algebra

Alajmi, Amal Hussain – International Journal of Science and Mathematics Education, 2016

This study reports on the algebraic generalization strategies used by elementary and middle/high school pre-service mathematics teachers in Kuwait. They were presented with 9 tasks that involved linear, exponential, and quadratic situations. The results showed that these pre-service teachers had difficulty in generalizing algebraic rules in all 3…

Descriptors: Algebra, Foreign Countries, Mathematics Teachers, Elementary School Teachers

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

Jin, Haiyue; Wong, Khoon Yoong – International Journal of Science and Mathematics Education, 2015

Conceptual understanding is a major aim of mathematics education, and concept map has been used in non-mathematics research to uncover the relations among concepts held by students. This article presents the results of using concept map to assess conceptual understanding of basic algebraic concepts held by a group of 48 grade 8 Chinese students.…

Descriptors: Foreign Countries, Grade 8, Mathematics Instruction, Mathematical Concepts

Dolev, Sarit; Even, Ruhama – International Journal of Science and Mathematics Education, 2015

This study analyzes six seventh grade Israeli mathematics textbooks, examining (1) the extent to which students are required to justify and explain their mathematical work, and (2) whether students are asked to justify a mathematical claim that is stated by the textbook or a mathematical claim that they themselves generated when solving a problem.…

Descriptors: Foreign Countries, Textbook Content, Textbook Evaluation, Textbook Research

Lee, Mi Yeon; Hackenberg, Amy J. – International Journal of Science and Mathematics Education, 2014

To investigate relationships between students' quantitative reasoning with fractions and their algebraic reasoning, a clinical interview study was conducted with 18 middle and high school students. The students were interviewed twice, once to explore their quantitative reasoning with fractions and once to explore their solutions of problems…

Descriptors: Correlation, Logical Thinking, Thinking Skills, Mathematical 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

Yu, Jya-Yi Wu; Chin, Erh-Tsung; Lin, Chia-Jung – International Journal of Science and Mathematics Education, 2004

This research was designed to study Taiwanese junior high school students' understanding about the validity of conditional statements. Distinguishing between validity and truth is a crucial topic in mathematical reasoning and argumentation but has been always neglected in the mathematics curriculum at junior high school level of schooling. The…

Descriptors: Mathematics Curriculum, Validity, Foreign Countries, Mathematical Logic