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Hodiyanto; Mega Teguh Budiarto; Rooselyna Ekawati; Gemi Susanti; Jeonghyeon Kim; Ebenezer Bonyah – Journal on Mathematics Education, 2024
Abstraction is essential to learning mathematics because the mathematical concepts obtained through abstraction will be more meaningful than directly receiving these concepts. This study aims to describe the pre-service teachers' abstraction in constructing relationships among quadrilaterals. This research method was explorative qualitative…
Descriptors: Preservice Teachers, Mathematics Skills, Mathematical Logic, Geometric Concepts
Thembinkosi Peter Mkhatshwa – International Journal of Mathematical Education in Science and Technology, 2024
This article reports on a qualitative investigation into students' thinking about a differential equations problem posing task; i.e. an initial value problem. Analysis of written and verbal responses to the task indicate that only four of the 34 students who participated in the study were successful in posing problems. Furthermore, only one of the…
Descriptors: Mathematics Skills, Equations (Mathematics), Abstract Reasoning, Thinking Skills
Thembinkosi Peter Mkhatshwa – International Journal of Mathematical Education in Science and Technology, 2024
While research on the opportunity to learn about mathematics concepts provided by textbooks at the secondary level is well documented, there is still a paucity of similar research at the undergraduate level. Contributing towards addressing this knowledge gap, the present study examined opportunities to engage in quantitative and covariational…
Descriptors: Mathematics Skills, Thinking Skills, Calculus, Textbooks
Brandon McMillan – Investigations in Mathematics Learning, 2025
Mathematical coherence is a goal within the Common Core State Standards for Mathematics. One aspect of this coherence is how student mathematical thinking is developed across concepts. Unfortunately, mathematics is often taught as isolated ideas across grades. The multiplicative field is an area of study that needs to be examined as a space to…
Descriptors: Mathematics Skills, Thinking Skills, Mathematical Logic, Multiplication
Kilicoglu, Elif; Kaplan, Abdullah – Athens Journal of Education, 2022
In this study, it was investigated whether it would be possible to observe abstraction processes of secondary school 7th graders using the Revised Bloom's Taxonomy. For this purpose, eight students participated in the study. The study was conducted at a state secondary school in Turkey. Purposeful sampling method was used in the selection of…
Descriptors: Secondary School Students, Grade 7, Mathematics Skills, Abstract Reasoning
Urhan, Selin; Bülbül, Ali – Mathematics Education Research Journal, 2023
Habermas' construct of rationality is a tool adapted from social sciences into mathematics education to identify the difficulties in the proving process and to plan the teaching of proof for reducing these difficulties. According to Habermas, people engaged in an activity/action are considered to "act rationally" if they choose and use…
Descriptors: Mathematics Skills, Mathematical Logic, Problem Solving, Geometry
Seyda Zengin; Emrullah Erdem – Acta Educationis Generalis, 2024
This study aims to reveal the mathematical reasoning process of 8th-grade students and the reasoning indicators they use in this process. The study was carried out in line with the data obtained from the Mathematical Reasoning Test (MRT) administered to 292 8th-grade students. The mathematical reasoning performances of the participants were…
Descriptors: Middle School Students, Middle School Mathematics, Thinking Skills, Mathematics Skills
Prayitno, Lydia Lia; Purwanto, P.; Subanji, S.; Susiswo, S.; Mutianingsih, Ninik – Journal of Research and Advances in Mathematics Education, 2022
Semantic is associated with the relationship between symbol, reference, and the problem's context involved in the problem-solving process which also involves reasoning and decision-making. Hence, this study describes the characteristics of students' semantic reasoning to solve the double discounts problem. 51 high school students in Sidoarjo…
Descriptors: Foreign Countries, High School Students, Abstract Reasoning, Problem Solving
Mkhatshwa, Thembinkosi Peter – International Journal of Mathematical Education in Science and Technology, 2023
This paper extends work in the areas of quantitative reasoning and covariational reasoning at the undergraduate level. Task-based interviews were used to examine third-semester calculus students' reasoning about partial derivatives in five tasks, two of which are situated in a mathematics context. The other three tasks are situated in real-world…
Descriptors: Undergraduate Students, Thinking Skills, Abstract Reasoning, Logical Thinking
Jérôme Proulx – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
Research studies are abundant in pointing at how the transition from additive to multiplicative thinking acts as a core challenge for students' understanding of proportionality. This said, we have yet to understand how this transition can be supported, and there remains significant questions to address about how students experience it. Recent work…
Descriptors: Mathematics Skills, Thinking Skills, Abstract Reasoning, Arithmetic
María Burgos; Jorhan Chaverri; José M. Muñoz-Escolano – Mathematics Teaching Research Journal, 2024
The aim of this paper is to describe and analyze how a group of prospective teachers create problems to develop proportional reasoning either freely or from a given situation across different contexts, and the difficulties they encounter. Additionally, it identifies their beliefs about what constitutes a good problem and assesses whether these…
Descriptors: Problem Solving, Mathematics Skills, Abstract Reasoning, Mathematical Concepts
Zhenwen Liang – ProQuest LLC, 2024
Mathematical reasoning, a fundamental aspect of human cognition, poses significant challenges for artificial intelligence (AI) systems. Despite recent advancements in natural language processing (NLP) and large language models (LLMs), AI's ability to replicate human-like reasoning, generalization, and efficiency remains an ongoing research…
Descriptors: Mathematics Skills, Thinking Skills, Abstract Reasoning, Generalizability Theory
Karch, Jessica M.; Sevian, Hannah – Chemistry Education Research and Practice, 2022
Productive problem solving, concept construction, and sense making occur through the core process of abstraction. Although the capacity for domain-general abstraction is developed at a young age, the role of abstraction in increasingly complex and disciplinary environments, such as those encountered in undergraduate STEM education, is not well…
Descriptors: Organic Chemistry, Problem Solving, Undergraduate Students, Thermodynamics
Ulusoy, Fadime – International Journal of Mathematical Education in Science and Technology, 2023
This study investigates middle school students' reasoning about parallelism and perpendicularity of two line segments. Data were collected from 83 middle school students through an identification task consisting of various examples and non-examples of the parallelism and perpendicularity of two line segments. One-to-one interviews were also…
Descriptors: Middle School Students, Thinking Skills, Geometric Concepts, Intuition
Aminah, Neneng; Sukestiyarno, Yohanes Leonardus; Wardono, Wardono; Cahyono, Adi Nur – European Journal of Educational Research, 2022
Prospective teachers facing the 21st century are expected to have the ability to solve problems with a computer mindset. Problems in learning mathematics also require the concept of computational thinking (CT). However, many still find it challenging to solve this problem. The subjects in this study were twenty-one prospective mathematics teachers…
Descriptors: Computation, Thinking Skills, Preservice Teachers, Mathematics Teachers