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Ingi Heinesen Højsted; Maria Alessandra Mariotti – International Journal of Mathematical Education in Science and Technology, 2024
This article reports on the design and implementation of a didactic sequence in the frame of a design-based research study. The research aim is to test the hypothesis that affordances of dynamic geometry may support students' awareness of logical relationships between geometrical properties of constructed figures. We elaborate on the task design…
Descriptors: Geometry, Mathematics Instruction, Logical Thinking, Teaching Methods
Sheena Tan – For the Learning of Mathematics, 2025
The research on mathematical argumentation has mainly adopted a dialectic lens which focuses on understanding the abstract and logical development of reasoning in argumentation. However, this approach may have overlooked other key aspects of mathematical argumentation, including the unfolding of the meaning-making experience and process during…
Descriptors: Dialogs (Language), Mathematics Instruction, Mathematics Skills, Persuasive Discourse
Laurent Cervoni; Julien Brasseur – International Association for Development of the Information Society, 2022
A Prolog program consists of a set of facts and rules rather than imperative statements, commonly used in most other programming languages. Therefore, the Prolog language is used to encode logic, from which the inference engine deduces logical conclusions. In this article, we argue that the use of the Prolog language can be useful to help students…
Descriptors: Teaching Methods, Mathematics Instruction, Problem Solving, Programming Languages
Johnson, Heather Lynn; Tzur, Ron; Gardner, Amber; Hodkowski, Nicola M.; Lewis, Allyson; McClintock, Evan – Research in Mathematics Education, 2022
We present a case study of an elementary teacher, Jen, who transformed her mathematics teaching practice and deepened her conception of angle measure. Employing Teacher Development Experiment methodology, rooted in a constructivist perspective of learning, we analysed sets of pre/post interviews and classroom observations, for two lessons on angle…
Descriptors: Mathematics Instruction, Mathematics Teachers, Elementary School Teachers, Intervention
Norton, Anderson; Arnold, Rachel; Kokushkin, Vladislav; Tiraphatna, Marcie – International Journal of Research in Undergraduate Mathematics Education, 2023
Proof by mathematical induction poses a persistent challenge for students enrolled in proofs-based mathematics courses. Prior research indicates a number of related factors that contribute to the challenge, and suggests fruitful instructional approaches to support students in meeting that challenge. In particular, researchers have suggested…
Descriptors: Mathematics Skills, Thinking Skills, Logical Thinking, Validity
Mehmet Demir; Yilmaz Zengin – Digital Experiences in Mathematics Education, 2024
The aim of this study is to explore how structural and process aspects of secondary school students' mathematical reasoning support each other in a collaborative learning environment through the integration of "GeoGebra" software and the ACODESA method. The study involved four eighth-grade secondary school students, who participated in…
Descriptors: Mathematics Skills, Thinking Skills, Computer Software, Mathematics Instruction
Cathy Marks Krpan; Gurpreet Sahmbi – International Journal of Education in Mathematics, Science and Technology, 2024
This study investigates teachers' perspectives on the use of a mathematical argumentation teaching strategy in elementary mathematics in which students disprove mathematical statements they already know to be false. Mathematical argumentation is a process through which students develop an argument about a mathematical concept and rationalize its…
Descriptors: Elementary School Teachers, Teacher Attitudes, Mathematics Instruction, Teaching Methods
Judith Canner; Jennifer E. Clinkenbeard – Numeracy, 2024
The idea of "threshold concepts" has been used to identify discipline-based concepts that are critical to that academic area. Threshold concepts are often difficult for students to assimilate in a meaningful way but, once done, can be powerful for the learner. In general, threshold concepts are 1) transformative to learner thinking; 2)…
Descriptors: Concept Formation, Comparative Analysis, Interdisciplinary Approach, Thinking Skills
Daily, Sara – International Journal of the Whole Child, 2021
"Productive Struggle" refers to a strategy that gives students an opportunity to increase their background mathematical knowledge. Productive Struggle helps students connect key concepts, determine how and where an error occurs, and supports students in figuring out how to use their own thinking and reasoning skills to correct an error.…
Descriptors: Elementary School Mathematics, Mathematics Instruction, Teaching Methods, Mathematical Concepts
Reangnok, Minmanee; Poonputta, Apantee – Journal of Educational Issues, 2022
The purposes of the study were: (1) to investigate the effectiveness of deductive learning management with online exercises on grade 10 students learning achievement of mathematical relations; and (2) to investigate students' satisfaction with the learning management. The study was conducted in a one-group pretest-posttest design. The participants…
Descriptors: Mathematics Instruction, Grade 10, High School Students, Mathematics Achievement
Star, Jon R.; Jeon, Soobin; Comeford, Rebecca; Clark, Patricia; Rittle-Johnson, Bethany; Durkin, Kelley – Mathematics Teacher: Learning and Teaching PK-12, 2021
Comparison is a powerful and important way that we learn. To support teachers in the use of comparison in their instruction, the authors developed an instructional routine called compare and discuss multiple strategies (CDMS). Similar to other instructional routines, CDMS is a structured, specific, repeatable minilesson that teachers can use to…
Descriptors: Mathematics Instruction, Teaching Methods, Discussion (Teaching Technique), Mathematical Logic
Michelle Lo; Teresa K. Dunleavy – Mathematics Teacher: Learning and Teaching PK-12, 2025
The mathematics classroom is particularly vulnerable to these judgments of perfectionism, with endless evidence of students and teachers believing that mathematics is based on an ultimate truth or a single, objective, unique answer. School mathematics still favors students' participation in rote procedures, memorization, and using only a few…
Descriptors: High School Students, High School Teachers, Mathematics Instruction, Standards
Kokkonen, Tommi; Schalk, Lennart – Educational Psychology Review, 2021
To help students acquire mathematics and science knowledge and competencies, educators typically use multiple external representations (MERs). There has been considerable interest in examining ways to present, sequence, and combine MERs. One prominent approach is the concreteness fading sequence, which posits that instruction should start with…
Descriptors: Mathematics Instruction, Science Instruction, Physics, Chemistry
Case, Joshua; Speer, Natasha – PRIMUS, 2021
In undergraduate mathematics, deductive reasoning plays important roles in teaching and learning various ideas, and is primarily characterized by the concept of logical implication. This comes up whenever conditional statements are applied, i.e., one checks if a statement's hypotheses are satisfied and then makes inferences. In calculus, students…
Descriptors: Calculus, Mathematics Instruction, Logical Thinking, Teaching Methods
Okeke, Anulika Mary; Egara, Felix Oromena; Orga, Anthonia Chioma; Nzeadibe, Augustina Chinyere – Pedagogical Research, 2023
The effect of symbolic form model on students' interest in logic content of the mathematics curriculum was investigated in this study. The research was guided by three research questions and three hypotheses. The study used a quasi-experimental design. The population of this research was 2,342 SS2 learners in Enugu State, Nigeria. A sample of 172…
Descriptors: Foreign Countries, Secondary School Students, Mathematics Instruction, Mathematics Curriculum