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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
Charles Hohensee; Teo Paoletti; Allison L. Gantt; Srujana Acharya; Julien Corven – Mathematics Teacher Educator, 2025
Research has shown there are algebra concepts elementary teachers can introduce that help prepare elementary students for the eventual transition to algebra (e.g., the relational interpretation of the equal sign). "Early algebra" refers to the use of informal approaches to introduce such concepts to elementary students. "Strip…
Descriptors: Elementary School Teachers, Preservice Teachers, Problem Solving, Visual Aids
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
Mamadou Kane – ProQuest LLC, 2024
The low academic learning outcomes and persistence rates among students starting in developmental mathematics at community colleges are concerning. Improving the teaching and learning of developmental mathematics is imperative. This Action Research study aimed to investigate and improve developmental mathematics students' low retention rate and…
Descriptors: Mathematics Teachers, Mathematics Instruction, Teaching Methods, Algebra
Hannah Smith; Avery H. Closser; Erin Ottmar; Jenny Yun-Chen Chan – Applied Cognitive Psychology, 2022
Worked examples are effective learning tools for algebraic equation solving. However, they are typically presented in a static concise format, which only displays the major derivation steps in one static image. The current work explores how worked examples that vary in their extensiveness (i.e., detail) and degree of dynamic presentation (i.e.,…
Descriptors: Algebra, Mathematics Instruction, Equations (Mathematics), Problem Solving
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
Jenny Yun-Chen Chan; Erin R. Ottmar; Ji-Eun Lee – Grantee Submission, 2022
We examined the influences of pre-solving pause time, algebraic knowledge, mathematics self-efficacy, and mathematics anxiety on middle-schoolers' strategy efficiency in an algebra learning game. We measured strategy efficiency using (a) the number of steps taken to complete a problem; (b) the proportion of problems completed on the initial…
Descriptors: Problem Solving, Algebra, Self Efficacy, Mathematics Anxiety
Ndlovu, Levi; Ndlovu, Mdutshekelwa – Pythagoras, 2020
The purpose of this mixed methods study was to investigate the effect of a graphing calculator (GC) intervention on Grade 11 learners' achievement in quadratic inequality problem solving. The quantitative aspects of the study involved an experimental and control group design in which the experimental group received instruction using the GC…
Descriptors: Mathematics Instruction, Secondary School Mathematics, Teaching Methods, Graphing Calculators
Leikin, Roza; Ovodenko, Regina – For the Learning of Mathematics, 2021
Advancement of self-regulation during complex problem solving and the development of strategical reasoning are among the central educational goals linked to 21st century skills. In this paper we introduce the notion of "Stepped Tasks", which are specially designed in Top-Down structure to achieve these goals in mathematics instruction.…
Descriptors: Problem Solving, Mathematics Instruction, Task Analysis, Metacognition
Kurniawan, Heru; Budiyono; Sajidan; Siswandari – International Journal of Instruction, 2021
The issue of higher-order thinking skills in Indonesia began to be raised in line with the changing goals of mathematics learning. The efforts have been made to be able to produce improved thinking skills, one of which is the PINTER model. This study aimed to see if there are any differences in higher-order thinking skills and mathematical…
Descriptors: Algebra, Mathematics Instruction, Teaching Methods, Thinking Skills
Gunter, Melissa D.; Raymond, Kate M. – Mathematics Teacher: Learning and Teaching PK-12, 2020
Many teachers labor to distinguish between productive and unproductive struggle; they believe that struggle is productive when it engages students in thinking and communicating metacognitively, which is when students think and communicate about their problem-solving processes, strategies, challenges, and successes. One method that helps ensure…
Descriptors: Classroom Communication, Metacognition, Mathematics Instruction, Instructional Effectiveness
Walsh, Jennifer B.; Hord, Casey – Learning Disabilities: A Contemporary Journal, 2019
In this exploratory case study, the researchers conducted a qualitative analysis of six teaching sessions to describe the use of gestures and diagrams by a teacher and her students with learning disabilities when engaging in secondary level algebra (e.g., Algebra I & II content). The teacher and her students used gestures, such as pointing and…
Descriptors: High School Students, Secondary School Mathematics, Mathematics Instruction, Algebra
Nagashima, Tomohiro; Bartel, Anna N.; Yadav, Gautam; Tseng, Stephanie; Vest, Nicholas A.; Silla, Elena M.; Alibali, Martha W.; Aleven, Vincent – Grantee Submission, 2021
Prior research shows that self-explanation promotes understanding by helping learners connect new knowledge with prior knowledge. However, despite ample evidence supporting the effectiveness of self-explanation, an instructional design challenge emerges in how best to scaffold self-explanation. In particular, it is an open challenge to design…
Descriptors: Teaching Methods, Mathematics Instruction, Algebra, Middle School Students
Editorial Projects in Education, 2023
The Education Week Spotlight on Improving Math Fluency is a collection of articles hand-picked by editors for their insights on the importance of math fact fluency, the challenges students face with word problems, how teachers can optimize how they introduce math facts and better support students, how early math supports help vulnerable students,…
Descriptors: Mathematics Education, Mathematics Skills, Barriers, Word Problems (Mathematics)