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Direct linkIssa Ndungo; Sudi Balimuttajjo; Edwin Akugizibwe; Charles Magoba Muwonge – African Journal of Research in Mathematics, Science and Technology Education, 2025
This study compared shifts in learners' attitudes under two instructional strategies: technology-enhanced Van Hiele phased instruction (TVHPI) and conventional Van Hiele phased instruction (CVHPI). A quasi-experimental design was used with 245 learners in the CVHPI group and 238 learners in the TVHPI group. Owing to non-normal data distribution,…
Descriptors: Geometry, Student Attitudes, Mathematics Instruction, Sequential Learning
Rich, Kathryn M.; Franklin, Diana; Strickland, Carla; Isaacs, Andy; Eatinger, Donna – Computer Science Education, 2022
Background and Context: We explored how learning trajectories (LTs) might be used to design variables instruction. Objective: We aimed to develop an LT for variables and use it to guide curriculum development for fourth graders working in Scratch in an integrated mathematics+CS curriculum. Method: We synthesized learning goals (LGs) and levels of…
Descriptors: Teaching Methods, Computer Science Education, Sequential Learning, Instructional Design
Xu, Chang; LeFevre, Jo-Anne – Developmental Psychology, 2016
Are there differential benefits of training sequential number knowledge versus spatial skills for children's numerical and spatial performance? Three- to five-year-old children (N = 84) participated in 1 session of either sequential training (e.g., what comes before and after the number 5?) or non-numerical spatial training (i.e., decomposition of…
Descriptors: Young Children, Preschool Children, Numbers, Mathematics
Blanton, Maria; Brizuela, Bárbara M.; Gardiner, Angela Murphy; Sawrey, Katie; Newman-Owens, Ashley – Journal for Research in Mathematics Education, 2015
The study of functions is a critical route into teaching and learning algebra in the elementary grades, yet important questions remain regarding the nature of young children's understanding of functions. This article reports an empirically developed learning trajectory in first-grade children's (6-year-olds') thinking about generalizing functional…
Descriptors: Young Children, Elementary School Students, Grade 1, Mathematics Instruction
Download full textCheeseman, Jill; Clarke, Doug; Roche, Anne; Wilson, Karen – Mathematics Education Research Group of Australasia, 2013
The findings discussed here are a small part of a larger study entitled, "Encouraging Persistence Maintaining Challenge". The paper reports five teachers' observations of the implementation of a task which was new to them. The teachers were asked to identify aspects of the task which they perceived as challenging for the Year 6 students.…
Descriptors: Mathematics Instruction, Foreign Countries, Teaching Methods, Assignments
Mamona-Downs, Joanna – International Journal of Mathematical Education in Science and Technology, 2010
An account is made of the relationship between the convergence behaviour of a sequence and the accumulation points of the underlying set of the sequence. The aim is to provide students with opportunities to contrast two types of mathematical entities through their commonalities and differences in structure. The more set-oriented perspective that…
Descriptors: Cognitive Processes, Comparative Analysis, Thinking Skills, Calculus
Smith, Margaret S.; Hughes, Elizabeth K.; Engle, Randi A.; Stein, Mary Kay – Mathematics Teaching in the Middle School, 2009
The premise underlying this article is that identifying and using the "five practices model" can make discussions of cognitively challenging tasks more manageable for teachers. By giving teachers a roadmap that they can follow before and during whole-class discussions, these practices have the potential for helping teachers more effectively…
Descriptors: Discussion (Teaching Technique), Teaching Methods, Teacher Effectiveness, Mathematics Instruction
Peer reviewedButler, Frances M.; Miller, Susan P.; Crehan, Kevin; Babbitt, Beatrice; Pierce, Thomas – Learning Disabilities: Research & Practice, 2003
This study compared effectiveness of either a concrete-representational-abstract (CRA) or a representational-abstract (RA) instructional sequence in teaching fraction concepts to 50 middle school students with mathematics disabilities. On all achievement measures, students in the CRA group had overall higher mean scores than did students in the RA…
Descriptors: Fractions, Instructional Effectiveness, Learning Disabilities, Manipulative Materials
