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Fitriati, Fitriati; Rosli, Roslinda; Iksan, Zanaton H. – Journal on Mathematics Education, 2023

Planning a mathematics lesson plan is a complex process. Its quality contributes to the effectiveness of mathematics instruction. Given this significance, improving prospective mathematics teachers' lesson planning ability is essential for teacher preparation programs to produce effective teachers. This study examines how a lesson study within a…

Descriptors: Teacher Education Programs, Lesson Plans, Mathematics Teachers, College School Cooperation

Hamdani, Deni; Purwanto; Sukoriyanto; Anwar, Lathiful – Journal on Mathematics Education, 2023

Failure to deduce false suppositions in proof by contradiction is still considered "more difficult" than proving the conditional ?? to ?? in proof by contraposition. This study aims to identify the types of proof construction failures based on the action steps of proof by contradiction, then offer a framework of construction failure…

Descriptors: Validity, Mathematical Logic, Mathematics Instruction, Guidelines

Putra, Zetra Hainul; Afrillia, Yesi Martha; Dahnilsyah; Tjoe, Hartono – Journal on Mathematics Education, 2023

Mathematical proofs play a paramount role in developing 21st-century skills, and the use of technology in mathematics learning has widely paved the way in the instruction of mathematical proofs. In mathematics education, GeoGebra has a significant role as a dynamic mathematics software in supporting students' learning process. This study aims to…

Descriptors: Preservice Teachers, Elementary School Teachers, Mathematical Logic, Validity

Hidayat, Wahyu; Rohaeti, Euis Eti; Ginanjar, Agie; Putri, Ratu Ilma Indra – Journal on Mathematics Education, 2022

The mathematical reasoning ability is one of the essential hard skills of a student, especially in solving everyday problems. In supporting the achievement of this mathematical reasoning ability, meaningful teaching materials are an essential part of keeping exciting and not dull a learning process. This study aimed to design and develop an…

Descriptors: Mathematics Instruction, Mathematical Logic, Thinking Skills, Problem Solving

Sari, Puspita; Fong, Ng Swee – Journal on Mathematics Education, 2022

Algebra as a study of quantitative relationship is one of four conceptions of school algebra which serves as a foundation for the concept of function. However, there is still a lack of attention to this particular relationship, especially in early algebraic reasoning. This study aims to investigate how the aspect of quantitative relationship in…

Descriptors: Algebra, Mathematical Logic, Mathematics Skills, Elementary School Mathematics

The Sequence of Algebraic Problem-Solving Paths: Evidence from Structure Sense of Indonesian Student

Junarti; Zainudin, M.; Utami, Anita Dewi – Journal on Mathematics Education, 2022

The algebraic structure is one of the axiomatic mathematical materials that consists of definitions and theorems. Learning algebraic structure will facilitate the development of logical reasoning, hence facilitating the study of other aspects of axiomatic mathematics. Even with this, several researchers say a lack of algebraic structure sense is a…

Descriptors: Foreign Countries, Algebra, Mathematical Concepts, Mathematics Instruction

González, Antonio; Gavilán-Izquierdo, José María; Gallego-Sánchez, Inés; Puertas, María Luz – Journal on Mathematics Education, 2022

The need to develop consistent theoretical frameworks for the teaching and learning of discrete mathematics, specifically of graph theory, has attracted the attention of the researchers in mathematics education. Responding to this demand, the scope of the Van Hiele model has been extended to the field of graphs through a proposal of four levels of…

Descriptors: Graphs, Validity, Mathematics Instruction, Geometry

Jablonski, Simone; Ludwig, Matthias – Journal on Mathematics Education, 2022

Mathematical arguments are central components of mathematics and play a role in certain types of modelling of potential mathematical giftedness. However, particular characteristics of arguments are interpreted differently in the context of mathematical giftedness. Some models of giftedness see no connection, whereas other models consider the…

Descriptors: Mathematical Logic, Thinking Skills, Mathematics Education, Academically Gifted

Widjaja, Wanty; Vale, Colleen – Journal on Mathematics Education, 2021

One pedagogical approach to challenge a persistent misconception is to get students to test a conjecture whereby they are confronted with the misconception. A common misconception about a 'direct linear relationship' between area and perimeter is well-documented. In this study, Year 4-6 students were presented with a conjecture that a rectangle…

Descriptors: Foreign Countries, Elementary School Students, Geometric Concepts, Misconceptions

Patmaniar; Amin, Siti Maghfirotun; Sulaiman, Raden – Journal on Mathematics Education, 2021

Students' previous knowledge at a superficial level is reviewed when they solve mathematical problems. This action is imperative to strengthen their knowledge and provide the right information needed to solve the problems. Furthermore, Pirie and Kieren's theory stated that the act of returning to a previous level of understanding is called folding…

Descriptors: Prior Learning, Mathematics Instruction, Arithmetic, Problem Solving

Fernández-León, Aurora; Gavilán-Izquierdo, José María; Toscano, Rocío – Journal on Mathematics Education, 2021

This paper studies how four primary-school in-service teachers develop the mathematical practices of conjecturing and proving. From the consideration of professional development as the legitimate peripheral participation in communities of practice, these teachers' mathematical practices have been characterised by using a theoretical framework…

Descriptors: Elementary School Teachers, Mathematical Logic, Validity, Professional Development

Hidayah, Indriati Nurul; Sa'dijah, Cholis; Subanji; Sudirman – Journal on Mathematics Education, 2020

When students solve an algebra problem, students try to deduce the facts in the problem. This step is imperative, students can draw conclusions from the facts and devise a plan to solve the problem. Drawing conclusions from facts is called reasoning. Some kinds of reasoning are deductive, inductive, and abductive. This article explores the…

Descriptors: Logical Thinking, Problem Solving, Mathematical Logic, Mathematics Education

Siswono, Tatag Yuli Eko; Hartono, Sugi; Kohar, Ahmad Wachidul – Journal on Mathematics Education, 2020

The emerging of formal mathematical proof is an essential component in advanced undergraduate mathematics courses. Several colleges have transformed mathematics courses by facilitating undergraduate students to understand formal mathematical language and axiomatic structure. Nevertheless, college students face difficulties when they transition to…

Descriptors: Preservice Teachers, Undergraduate Students, Late Adolescents, Preferences

Apsari, Ratih Ayu; Putri, Ratu Ilma Indra; Sariyasa; Abels, Mieke; Prayitno, Sudi – Journal on Mathematics Education, 2020

The present study is a part of design research in local instructional theory in a pre-algebraic lesson using the Realistic Mathematics Education (RME) approach. The article will focus on recommendations for the type of pre-algebra class that supports elementary school students' algebraic thinking. As design research study, it followed the three…

Descriptors: Elementary School Students, Elementary School Mathematics, Grade 5, Geometry

Sari, Delsika Pramata; Darhim – Journal on Mathematics Education, 2020

The purpose of this study was to describe how to implement the REACT [Relating, Experiencing, Applying, Cooperating and Transferring] strategy to develop students' mathematical representation, reasoning, and disposition ability. This research was a descriptive study with a qualitative approach. The subject of this study was grade 8 junior high…

Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Logic, Mathematics Skills

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