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Mostert, Ingrid – African Journal of Research in Mathematics, Science and Technology Education, 2019
A number of post-colonial countries in Africa have introduced home language instruction for the initial years of schooling. This policy is particularly challenging in mathematics, as there is a paucity of research on how the linguistic features of African languages might be leveraged for the teaching and learning of mathematics. This paper…
Descriptors: Foreign Countries, Native Language Instruction, African Languages, Mathematics Instruction
Mix, Kelly S.; Smith, Linda B.; Stockton, Jerri DaSha; Cheng, Yi-Ling; Barterian, Justin A. – Journal of Cognition and Development, 2017
Two experiments examined whether concrete models support place value learning. In Experiment 1 (N = 149), 7-year-olds were trained with either a) symbols alone or b) symbols and base-10 blocks. Children in both groups showed significant growth overall, but there were specific effects favoring one training type over another. Symbols-only training…
Descriptors: Symbols (Mathematics), Models, Number Concepts, Mathematics Instruction
Gabel, Mika; Dreyfus, Tommy – Educational Studies in Mathematics, 2017
The notion of flow of a proof encapsulates mathematical, didactical, and contextual aspects of proof presentation. A proof may have different flows, depending on the lecturer's choices regarding its presentation. Adopting Perelman's New Rhetoric (PNR) as a theoretical framework, we designed methods to assess aspects of the flow of a proof. We…
Descriptors: Mathematics Instruction, Validity, Mathematical Logic, Theories
Berch, Daniel B. – Journal of Learning Disabilities, 2017
In this commentary, I examine some of the distinctive, foundational difficulties in learning fractions and other types of rational numbers encountered by students with a mathematical learning disability and how these differ from the struggles experienced by students classified as low achieving in math. I discuss evidence indicating that students…
Descriptors: Fractions, Mathematical Aptitude, Disabilities, Learning Problems
Doabler, Christian T.; Clarke, Ben; Kosty, Derek; Turtura, Jessica E.; Sutherland, Marah; Maddox, Steven A.; Smolkowski, Keith – Journal of Learning Disabilities, 2021
Implementation of evidence-based practices (EBPs) is paramount to students' development of mathematics proficiency. This study investigated "practice-based evidence" of interventionists' actual use of explicit mathematics instruction, a well-established EBP. Specifically, this study analyzed direct observation data collected in a…
Descriptors: Classroom Observation Techniques, Evidence Based Practice, Mathematics Instruction, Small Group Instruction
Brave, Kathryn Lavin; McMullen, Mary; Martin, Cecile – Mathematics Teacher: Learning and Teaching PK-12, 2021
During a time when students are accessing instruction virtually because of COVID-19, reflecting on the sixth of the Standards for Mathematical Practice (SMP 6) is a vital step for educators to take. Although the Common Core State Standards for Mathematics (NGA Center and CCSSO 2010) identifies SMP 6 as Attend to precision, associated expertise…
Descriptors: COVID-19, Pandemics, Academic Standards, Mathematics Instruction
Doabler, Christian T.; Clarke, Ben; Kosty, Derek; Turtura, Jessica E.; Sutherland, Marah; Maddox, Steven A.; Smolkowski, Keith – Grantee Submission, 2021
Implementation of evidence-based practices (EBPs) is paramount to students' development of mathematics proficiency. This study investigated "practice-based evidence" (Green, 2008) of interventionists' actual use of explicit mathematics instruction, a well-established EBP. Specifically, this study analyzed direct observation data…
Descriptors: Classroom Observation Techniques, Evidence Based Practice, Mathematics Instruction, Small Group Instruction
Wessman-Enzinger, Nicole M.; Tobias, Jennifer; Olanoff, Dana – Investigations in Mathematics Learning, 2020
Writing and evaluating contextual problems is an important task in the work of teaching, and thus is part of the knowledge that prospective teachers must develop. In dealing with word problems posed both by children and themselves, prospective teachers will need to attend to the realism of the context and the consistency between the operation and…
Descriptors: Preservice Teachers, Mathematics Instruction, Addition, Word Problems (Mathematics)
Bulf, Hermann; de Hevia, Maria Dolores; Macchi Cassia, Viola – Developmental Science, 2016
Numbers are represented as ordered magnitudes along a spatially oriented number line. While culture and formal education modulate the direction of this number-space mapping, it is a matter of debate whether its emergence is entirely driven by cultural experience. By registering 8-9-month-old infants' eye movements, this study shows that numerical…
Descriptors: Infants, Number Concepts, Eye Movements, Cues
Dawson, Sandy – For the Learning of Mathematics, 2015
In this article, which was first published in 1991, the late Sandy Dawson, discusses aspects of a Lakatosian approach to mathematics teaching. The ideas are illustrated with examples from three teaching situations: making conjectures about the next number in a sequence; making conjectures about the internal angles in a triangle using Logo; and…
Descriptors: Mathematics Education, Mathematics Instruction, Number Concepts, Mathematics Skills
Lewis, Robert – Australian Mathematics Teacher, 2015
The history of the number zero is an interesting one. In early times, zero was not used as a number at all, but instead was used as a place holder to indicate the position of hundreds and tens. This article briefly discusses the history of zero and challenges the thinking where divisions using zero are used.
Descriptors: Number Concepts, Arithmetic, Mathematics Instruction, Teaching Methods
Van, Leap; Mao, Sokalyan; Cnudde, Veerle – Global Education Review, 2018
Despite adequate facilities and several education reforms, most Cambodian teacher trainers fail to provide sufficient content knowledge and student-centered pedagogy. Many also lack the skills to diagnose preservice teachers' misconceptions and to propose adequate solutions. Dictating lessons with little feedback or applied activities or having…
Descriptors: Foreign Countries, Pedagogical Content Knowledge, Number Concepts, Preservice Teachers
Schumacher, Robin F.; Jayanthi, Madhavi; Gersten, Russell; Dimino, Joseph; Spallone, Samantha; Haymond, Kelly S. – Learning Disabilities Research & Practice, 2018
A formative pilot study of a fractions intervention was conducted to address the intervention's potential for improving fifth-grade struggling students' knowledge of fractions, and to identify any logistical or instructional design issues, before scaling up for a randomized control trial. In the first section, we provide details of the formative…
Descriptors: Fractions, Mathematics Instruction, Intervention, Grade 5
Smith, John P., III – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
Curricular analysis indicates that the U.S. students are introduced to multiplication in additive terms (as the replication of equal groups and repeated addition). But the virtue of this introduction for supporting students' understanding of the full range of multiplicative relationships is unclear. This paper reports an analysis of all grade 4…
Descriptors: National Competency Tests, Mathematics Tests, Mathematics Skills, Elementary School Mathematics
Bingham, Teri; Rodriguez, Regina Chanel – Texas Association for Literacy Education Yearbook, 2019
Transitioning from teaching whole number operations to teaching fraction operations can prove difficult, even for the seasoned mathematics teacher. However, with effective literacy practices, teachers can seamlessly shift their students to learning the rules for fractions. The implications can be a mastery of mathematical language used to describe…
Descriptors: Fractions, Mathematics Instruction, Learning Strategies, Teaching Methods