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Direct linkOlsher, Shai; Lavie, Irit – International Journal of Mathematical Education in Science and Technology, 2023
Generalization is considered to be an essential part of mathematical reasoning and proving, and it has many definitions in mathematics education research. Despite its centrality, teachers often have difficulty identifying and responding to generalization in students' work. In this study, we focus on preservice teacher's (PTs) ability to describe…
Descriptors: Generalization, Mathematics Skills, Preservice Teachers, Elementary School Mathematics
Gulkilik, Hilal – Interactive Learning Environments, 2023
The purpose of this study was to analyze the prompts that preservice secondary mathematics teachers used for the acquisition of mathematics knowledge in dynamic geometry environment tasks. The participants, four preservice secondary mathematics teachers who were enrolled in a computer-supported mathematics education course, designed a dynamic…
Descriptors: Preservice Teachers, Geometry, Mathematics Teachers, Mathematics Instruction
Download full textUnlu, Melihan; Horzum, Tugba – International Journal of Research in Education and Science, 2018
This study aims to analyze how the Mathematics Teacher Candidates (MTCs) define the "prism" and "pyramid" concepts in geometry. The research was carried out in 2017-2018 academic year with 92 MTCs. This test consists of 3 open-ended questions that MTCs can answer conceptually. The first openended question was as "Define a…
Descriptors: Mathematics Teachers, Preservice Teachers, Geometry, Mathematics Instruction
Du, Xuejiao; Zhang, Qi – Educational Psychology, 2019
Previous research has verified the benefits obtained when learners trace out worked examples with the index finger. Our study conducted two experiments to explore the reasons for this phenomenon and its generalizability. Experiment 1 compared the learning effects among tracing, non-tracing, and cueing methods. The cueing method was included to…
Descriptors: Geometry, Mathematics Instruction, Cues, Teaching Methods
Çekmez, Erdem; Baki, Adnan – PRIMUS, 2016
The concept of a tangent is important in understanding many topics in mathematics and science. Earlier studies on students' understanding of the concept of a tangent have reported that they have various misunderstandings and experience difficulties in transferring their knowledge about the tangent line from Euclidean geometry into calculus. In…
Descriptors: Generalization, Mathematical Concepts, Comprehension, Differences
Mitchelmore, Michael C. – 2002
Although mathematics deals with generalizations relating abstract ideas, very little attention has been given in the mathematics education literature to the role of abstraction and generalization in the development of mathematical knowledge. In this paper, the meanings of "abstraction" and "generalization" are first explored by…
Descriptors: Abstract Reasoning, Cognitive Processes, Concept Formation, Elementary Secondary Education
Pateman, Neil A., Ed; Dougherty, Barbara J., Ed.; Zilliox, Joseph T., Ed. – International Group for the Psychology of Mathematics Education, 2003
This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) Improving Decimal Number Conception by Transfer from Fractions to Decimals (Irita Peled and Juhaina Awawdy Shahbari); (2) The Development of Student Teachers' Efficacy Beliefs in Mathematics during…
Descriptors: Student Teachers, Mathematics Education, Teacher Effectiveness, Metalinguistics
