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Pradina Parameswari; Purwanto; Sudirman; Susiswo – Mathematics Teaching Research Journal, 2024
Students' difficulties in differentiating the direct proportion and inverse proportion problems cause interference. Proactive interference is the error that occurs when old information (concept of direct proportion) interferes with new information (concept of inverse proportion). In solving the problem of inverse proportion, students often use the…
Descriptors: Problem Solving, Mathematical Concepts, Mathematics Instruction, Grade 8
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Lucy A. Watson; Elizabeth B. Harkey; Angela T. Barlow – Mathematics Teacher: Learning and Teaching PK-12, 2024
Barlow et al. (2018) discussed three types of mistakes worthy of inspection: procedural errors, inappropriate solution processes, and misconceptions. Here, the authors focus on procedural errors, as these often led the teachers in their professional development project to limit their inspection of mistakes to correcting. Despite this narrow focus,…
Descriptors: Mathematics Instruction, Misconceptions, Teaching Methods, Error Patterns
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Halil Önal – Southeast Asia Early Childhood, 2023
The aim of this research is to determine the students' misconceptions of using concept cartoons and to evaluate the lessons taught with concept cartoons according to the students' opinions. The model of the research is the case study, which is one of the qualitative research methods. Participants are a total of 82 students, attending the 3rd grade…
Descriptors: Misconceptions, Cartoons, Error Patterns, Student Attitudes
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M. Qoyum Zuhriawan; Purwanto; Susiswo; Sukoriyanto; Siti Faizah – Mathematics Teaching Research Journal, 2024
Students' understanding of negative integers is an important aspect of learning mathematics as it is a requirement for learning broader mathematical concepts. The purpose of this research is to explore students' initial perceptions in understanding negative integers on a number line. This descriptive exploratory qualitative research was conducted…
Descriptors: Numbers, Number Concepts, Elementary School Students, Student Attitudes
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Terri L. Kurz; Mi Yeon Lee – School Science and Mathematics, 2024
Recognizing, building, describing, extending, and analyzing patterns are key components of algebraic reasoning. Oftentimes pattern-based instruction is used to support the understanding of functions and variables. In this study, elementary preservice teachers (n = 23) were asked to explore, extend, explain, create equations for, and analyze…
Descriptors: Elementary School Teachers, Preservice Teachers, Numbers, Error Patterns
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Maria Nielsen Stewart; Noah Brown; Amber Candela; Samuel Otten; Zandra de Araujo – Mathematics Teacher: Learning and Teaching PK-12, 2025
The authors developed an instructional nudges as part of a larger research project. These instructional nudges are designed to be small but powerful changes to teachers' existing practices. Some instructional nudges focus on modifying tasks used in classrooms. In this article, the authors share Rate and Review. The goal of Rate and Review is to…
Descriptors: Teaching Methods, Mathematics Instruction, Persuasive Discourse, Task Analysis
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Wessman-Enzinger, Nicole M.; Gerstenschlager, Natasha – Investigations in Mathematics Learning, 2023
We know that making mistakes in mathematics is an inherent attribute of doing mathematics deeply. Yet, making mistakes is at the root of mathematical fear and anxiety for elementary preservice teachers (PSTs). Valuing mistakes in mathematics is an essential part of shifting from deficient views to asset views of mistakes and having better…
Descriptors: Preservice Teachers, Elementary School Teachers, Reflective Teaching, Mathematics Teachers
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Katja Lenz; Frank Reinhold; Gerald Wittmann – Research in Mathematics Education, 2024
When learning about fractions, teaching usually follows certain topics -- e.g. part of the whole, fraction equivalence, and size comparison. Not yet answered is whether students' conceptual and procedural knowledge of fractions is coherent between those topics. To answer this question, we performed a latent profile analysis of data from N = 1005…
Descriptors: Fractions, Error Patterns, Mathematics Instruction, Concept Formation
National Council of Teachers of Mathematics, 2025
Get a deeper understanding of teaching functions, 9-12 with our concise and comprehensive Go-To Guide. Based on "Developing Essential Understanding of Functions 9-12" and "Putting Essential Understanding of Functions into Practice 9-12," this summary distills the key concepts and ideas into a quick-reference guide that's…
Descriptors: Mathematics Instruction, Teaching Methods, Kindergarten, Elementary Secondary Education
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Er, Zübeyde – International Journal of Research in Education and Science, 2023
One of the reasons why students fail in mathematics courses is that the problems used in the lessons are abstract. In this context, it is important to embody the problems used in the lessons. Fermi problems are open-ended problems, a type of problem that reflects real-life situations that are solved by making a series of predictions. In the…
Descriptors: Problem Solving, Mathematics Instruction, Relevance (Education), Preservice Teacher Education
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Analisa Fitria; Subanji; Susiswo; Hery Susanto – Mathematics Teaching Research Journal, 2023
This study diagnoses and explores year eight students' misconceptions and mistakes in algebra. An in-depth exploration of students' misconceptions were carried out by conducting interviews based on the students' work as outlined in a cognitive map. Based on the cognitive maps, it can be seen that the students emphasize procedural knowledge rather…
Descriptors: Cognitive Mapping, Misconceptions, Algebra, Mathematical Concepts
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Aneta Gacovska Barandovska; Boce Mitrevski; Lambe Barandovski – International Journal of Mathematical Education in Science and Technology, 2023
Problem-solving is an essential part of teaching, learning, and assessment of physics and mathematics. The continuing educational reforms have a deep impact on everyday teaching as well as working with talented students. In the Macedonian educational system, the curricula do not explicitly point out the connection between mathematics and physics,…
Descriptors: Problem Solving, Geometry, Mathematics Instruction, Optics
Colleen O'Donnell Oppenzato – ProQuest LLC, 2024
Many U.S. students possess only a weak knowledge of fraction arithmetic. I hypothesize that textbooks are a critical reason for students' poor performance on fraction arithmetic. This is not because of what textbooks contain but rather because of what they lack. Distributions of fraction arithmetic problems in textbooks are imbalanced, with…
Descriptors: Fractions, Arithmetic, Mathematics Instruction, Comparative Analysis
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Üredi, Pelin – International Journal of Modern Education Studies, 2022
The purpose of this research was to develop and evaluate a number sense-based curriculum aiming to eliminate student errors due to mathematical misconceptions. A mixed method research model as one of the qualitative research approaches was adopted in this study aiming to develop a number sense-based instructional design to eliminate student errors…
Descriptors: Mathematics Instruction, Error Patterns, Misconceptions, Instructional Design
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Shih, Shu-Chuan; Chang, Chih-Chia; Kuo, Bor-Chen; Huang, Yu-Han – Education and Information Technologies, 2023
A one-on-one dialogue-based mathematics intelligent tutoring system (ITS) for learning multiplication and division of fractions was developed and evaluated in this study. This system could identify students' error types and misconceptions in real-time by using a block-based matching method. The adaptive dialogue-based instruction was supported by…
Descriptors: Mathematics Instruction, Intelligent Tutoring Systems, Multiplication, Division
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