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Jason Ureña; Rafael Ramírez-Uclés; María C. Cañadas; Marta Molina – International Journal of Mathematical Education in Science and Technology, 2024
Recent research has highlighted the role of functional relationships in introducing elementary school students to algebraic thinking. This functional approach is here considered to study essential components of algebraic thinking such as generalization and its representation, as well as the strategies used by students and their connection with…
Descriptors: Generalization, Mathematics Instruction, Elementary School Students, Algebra
J. Ureña; R. Ramírez; M. Molina; M. C. Cañadas – Mathematics Education Research Journal, 2024
We conducted a descriptive exploratory study in which we analyzed 313 sixth to eighth grade students' answers to a word problem, accompanied by diagrams, involving generalization in an algebraic functional context. In this research, we jointly addressed two objectives: (a) to determine the strategies deployed by students to generalize and (b) to…
Descriptors: Mathematics Instruction, Generalization, Symbols (Mathematics), Age Differences
Goñi-Cervera, J.; Cañadas, M. C.; Polo-Blanco, I. – ZDM: Mathematics Education, 2022
Generalisation is a skill that enables learners to acquire knowledge in general, and mathematical knowledge in particular. It is a core aspect of algebraic thinking and, in particular, of functional thinking, as a type of algebraic thinking. Introducing primary school children to functional thinking fosters their ability to generalise, explain and…
Descriptors: Generalization, Autism Spectrum Disorders, Elementary School Students, Algebra
Wadham, Bridget; Pearce, Emily; Hunter, Jodie – Mathematics Education Research Group of Australasia, 2023
In this paper, we explore how students' algebraic noticing's and explanations changed across a two-year period with the introduction of designed instructional material. The data in this report is drawn from n=53 Year 7-8 students' responses to a free-response assessment task across two different years. Analysis focused on how students noticed and…
Descriptors: Algebra, Mathematics Instruction, Multiplication, Learning Processes
Polo-Blanco, Irene; González López, Eva M. – Autism & Developmental Language Impairments, 2021
Background & aims: In recent years, there has been an increased interest in analyzing the mathematical performance of students with learning difficulties in order to provide them with teaching methods adapted to their needs. In particular, the importance of studying the type of informal strategy that students use when solving problems has been…
Descriptors: Addition, Mathematics Instruction, Teaching Methods, Learning Problems
Zhang, Jiayi; Andres, Juliana Ma. Alexandra L.; Hutt, Stephen; Baker, Ryan S.; Ocumpaugh, Jaclyn; Nasiar, Nidhi; Mills, Caitlin; Brooks, Jamiella; Sethuaman, Sheela; Young, Tyron – Journal of Educational Data Mining, 2022
Self-regulated learning (SRL) is a critical component of mathematics problem-solving. Students skilled in SRL are more likely to effectively set goals, search for information, and direct their attention and cognitive process so that they align their efforts with their objectives. An influential framework for SRL, the SMART model (Winne, 2017),…
Descriptors: Problem Solving, Mathematics Instruction, Learning Management Systems, Learning Analytics
Crawford, Angela R. – Investigations in Mathematics Learning, 2022
Learning trajectories are built upon progressions of mathematical understandings that are typical of the general population of students. As such, they are useful frameworks for exploring how understandings of diverse learners may be similar or different from their peers, which has implications for tailoring instruction. The purpose of this…
Descriptors: Learning Trajectories, Mathematics Instruction, Student Diversity, Guidelines
El Mouhayar, Rabih – Journal of Mathematics Teacher Education, 2019
This paper explored the following: (1) teachers' ways of attending to students' written responses in pattern generalization tasks and (2) differences in the ways of attending to students' responses associated with different factors. A questionnaire was developed to classify teachers' ways of attending to students' written responses. The…
Descriptors: Mathematics Teachers, Elementary School Teachers, Secondary School Teachers, Mathematics Instruction
Kim, Soo Jung; Xin, Yan Ping – Learning Disabilities: A Contemporary Journal, 2022
We conducted a comprehensive synthesis of computer-assisted instruction (CAI) research that aimed to facilitate the learning of mathematical word problem solving involving elementary and secondary school students with learning disabilities or difficulties in mathematics. We examined a total of 13 studies under the four instructional categories:…
Descriptors: Computer Assisted Instruction, Word Problems (Mathematics), Problem Solving, Mathematics Instruction
Setiawan, Yayan Eryk; Purwanto; Parta, I. Nengah; Sisworo – Journal on Mathematics Education, 2020
Linear pattern is the primary material in learning number patterns in junior high schools, but there are still many students who fail to generalize the linear pattern. The students' failure in generalizing the pattern occurred when the students ended to view the problems globally without breaking them into the constructors' components such as the…
Descriptors: Cognitive Style, Mathematical Concepts, Thinking Skills, Concept Formation
Hashemi, Nourooz; Abu, Mohd Salleh; Kashefi, Hamidreza; Mokhtar, Mahani; Rahimi, Khadijeh – EURASIA Journal of Mathematics, Science & Technology Education, 2015
Derivatives and integrals are two important concepts of calculus which are precondition topics for most of mathematics courses and other courses in different fields of studies. A majority of students at the undergraduate level have to master derivatives and integrals if they want to be successful in their studies However, students encounter…
Descriptors: Mathematical Concepts, Calculus, Undergraduate Students, Problem Solving
House Rich, Sara E.; Duhon, Gary J. – Journal of Behavioral Education, 2014
This study examined the utility of brief academic assessments to identify effective generalization procedures for individual students. Specifically, the study built on the proposal that brief assessments of antecedent and consequence manipulations can identify the most effective generalization strategy for individual students. The design was an…
Descriptors: Generalization, Problem Solving, Mathematics Skills, Mathematics Instruction
Hua, Youjia; Woods-Groves, Suzanne; Kaldenberg, Erica R.; Lucas, Kristin G.; Therrien, William J. – Education and Training in Autism and Developmental Disabilities, 2015
The purpose of the study was to investigate the effectiveness of teaching a three-step cognitive strategy (TIP) using the schema broadening procedures on functional mathematical problem solving skills of young adults with intellectual disability (ID). We randomly assigned 14 learners with ID to the control and experimental group before the…
Descriptors: Instructional Effectiveness, Mathematics Instruction, Problem Solving, Mental Retardation
Stephens, Ana; Fonger, Nicole L.; Blanton, Maria; Knuth, Eric – Grantee Submission, 2016
In this paper, we describe our learning progressions approach to early algebra research that involves the coordination of a curricular framework, an instructional sequence, written assessments, and levels of sophistication describing the development of students' thinking. We focus in particular on what we have learning through this approach about…
Descriptors: Elementary School Students, Elementary School Mathematics, Mathematics Instruction, Learning Processes
Taber, Mary R. – ProQuest LLC, 2013
Mathematics can be a difficult topic both to teach and to learn. Word problems specifically can be difficult for students with disabilities because they have to conceptualize what the problem is asking for, and they must perform the correct operation accurately. Current trends in mathematics instruction stem from the National Council of Teachers…
Descriptors: Mild Disabilities, Mathematics Instruction, Word Problems (Mathematics), Problem Solving
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