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Rafi Safadi; Nadera Hawa – Instructional Science: An International Journal of the Learning Sciences, 2024
Research suggests that troubleshooting activities that require students to reflect on teacher-crafted erroneous examples; i.e., erroneous solutions to problems that correspond to widespread naïve ideas, are beneficial to learning. One possible explanation to these beneficial effects is that troubleshooting activities encourage students to test the…
Descriptors: Mathematics Instruction, Error Correction, Grade 9, Error Patterns
Rafi' Safadi; Nadera Hawa – Mathematics Teacher: Learning and Teaching PK-12, 2025
Graded Troubleshooting (GTS) is a powerful routine that teachers can use easily to engender students' metacognitive thinking and boost their understanding of mathematics concepts and procedures. This article describes a new GTS activity designed to prompt students to efficiently exploit worked examples when asked to diagnose erroneous examples…
Descriptors: Mathematics Education, Mathematics Instruction, Problem Solving, Troubleshooting
Xuran Wang – ProQuest LLC, 2024
This study addresses a significant gap in educational research by employing statistical methods to measure the sequencing of different components and content topics in textbooks. It is well-documented that the structure and sequencing features of textbooks play a crucial role in enhancing students' learning. However, existing literature has…
Descriptors: Textbook Evaluation, Textbook Content, Grade 9, Algebra
David Chinofunga; Philemon Chigeza – Mathematics Education Research Group of Australasia, 2024
This paper reports on the development of complex unfamiliar mathematics questions using conventional mathematics questions. The autoethnographic research data included retrospective reflections of two educators and review of literature. Data analysis resulted in a three-phase development process: identifying conventional questions and subject…
Descriptors: Mathematics Instruction, Teaching Methods, Learning Processes, Questioning Techniques
Zehra E. Ünal; Asli M. Ala; Gamze Kartal; Serkan Özel; David C. Geary – Journal of Numerical Cognition, 2024
Sixty (35 girls and 25 boys) 9th-grade students' conceptual understanding of the number line was qualitatively assessed through verbal explanations and visual representations. The assessment included an open-ended question focused on students' number line descriptions and the explanations coalesced around six features: sequential ordering (i.e.,…
Descriptors: Grade 9, Numeracy, Number Concepts, Numbers
Çelen, Yeliz – Turkish Online Journal of Educational Technology - TOJET, 2023
Misconceptions occur as a result of learners' wrong beliefs and experiences, and because subsequent learning is built on these misconceptions, they cause new concepts to be learned incorrectly. Studies show that students have problems in making sense of many mathematical concepts in mathematics teaching processes and this situation can be…
Descriptors: Misconceptions, Grade 9, Number Concepts, Foreign Countries
White, Isabel; Foster, Michael; Lobato, Joanne – Mathematics Teacher: Learning and Teaching PK-12, 2023
Making sense of algebraic expressions in context is multifaceted and extends beyond representing real-world situations using algebra. As part of Project MathTalk, the authors created videos that feature a pair of Grade 9 algebra 1 students coming to understand algebraic expressions in context. The students found three aspects of making sense of…
Descriptors: Grade 9, Algebra, Mathematics Instruction, Video Technology
Brigitte Grugeon-Allys; Julia Pilet – Educational Studies in Mathematics, 2024
This large-scale study characterizes the algebraic learning of a cohort of nearly 800 French students during the last year of middle school (9th grade, 14-15 years old) and examines their evolution in relation to the composition of the classes to which the students belong. Based on the Anthropological Theory of the Didactic (ATD), the study is…
Descriptors: Algebra, Middle School Students, Mathematics Instruction, Foreign Countries
Low-Attaining Secondary School Mathematics Students' Perspectives on Recommended Teaching Strategies
Jeremy Hodgen; Colin Foster; Margaret Brown; David Martin – International Journal of Science and Mathematics Education, 2024
Recent research syntheses have identified several potentially high-leverage teaching strategies for improving low-attaining secondary school students' learning of mathematics. These strategies include the structured use of representations and manipulatives and an emphasis on derived facts and estimation. This paper reports on 70 semi-structured…
Descriptors: Foreign Countries, Secondary School Students, Grade 9, Grade 10
Philile Nobuhle Mathaba; Anass Bayaga; Daniela Tîrnovan; Michael J. Bossé – Journal on Mathematics Education, 2024
This research investigates errors and misconceptions among learners in algebraic education by utilizing Koch's error analysis method alongside the Structure of the Observed Learning Outcome (SOLO) taxonomy. The primary aim of the investigation is to discern the kinds of errors and cognitive stages demonstrated by Grade 9 students when engaged in…
Descriptors: Algebra, Misconceptions, Cognitive Ability, Mathematics Education
Sevin Demirci; Emine Gaye Çontay – Journal of Inquiry Based Activities, 2023
In this study, a paper folding activity task, which involved reaching the Pythagorean Theorem with a series of steps was designed. The aim of the task is to reach the Pythagorean Theorem with folding activities by deductive reasoning and logical inference. The study aimed to examine the effectiveness of the task and to share the patty paper…
Descriptors: Mathematics Instruction, Manipulative Materials, Program Effectiveness, Grade 9
Konstantinos P. Christou; Despoina Ioanna Kyrvei; Xenia Vamvakoussi – Mathematical Thinking and Learning: An International Journal, 2024
In this study, we investigated how secondary students interpret algebraic expressions that contain literal symbols to stand for variables. We hypothesized that the natural number bias (i.e., the tendency to over-rely on knowledge and experiences based on natural numbers) would affect students to think that the literal symbols stand for natural…
Descriptors: Algebra, Mathematics Instruction, Grade 8, Grade 9
Sanit Srikoon; Chansit Khamput; Ketsaraphan Punsrigate – Malaysian Journal of Learning and Instruction, 2024
Purpose: Mathematical literacy and mathematical problem-solving are crucial abilities that link mathematics content to real life applications, facilitating both mathematics understanding and mathematical processes. The present study aimed to investigate the effectiveness of the STEMEN (STEM and educational neuroscience) teaching model in enhancing…
Descriptors: Numeracy, STEM Education, Neurosciences, Problem Solving
Pialarissi, Elisiê; De Oliveira Prado, Danielle Gonçalves; Da Silva, Gustavo Avelino; De Godoi, Milena Maria – International Society for Technology, Education, and Science, 2022
As imperceptible as it is, mathematics is fundamental and is present on several occasions in our daily lives, but among 65 countries Brazil still ranks 53rd in education. The lack of investment in primary education has affected students learning since the early years. From this perspective, this paper proposed to verify teaching/learning in…
Descriptors: Foreign Countries, Mathematics Instruction, Teaching Methods, Learning Processes
Meagan Coronado – ProQuest LLC, 2024
In this study, 80 ninth-grade students enrolled in Algebra I from a high school in south Texas completed the Implicit Theories of Intelligence Scale for Children (ITIS) Survey and the Attitudes Toward Mathematics Inventory (ATMI) Survey, before and after a set of interventions. The students were divided into one of four groups, three with applied…
Descriptors: Secondary School Students, Secondary School Mathematics, Intervention, Mathematics Instruction