Research on mathematics interventions for college students with learning disabilities (LD) is sparse, yet mathematics is critical for post-secondary success. Prior research indicates that many effective strategies for teaching mathematics to secondary students with LD (e.g., manipulatives and cognitive strategies) can also improve the mathematics…

School is a space where learning mathematics should be accompanied by the student's preferences; however, its valuation in the classroom is not necessarily the same. From a quantitative approach, we ask from the mathematical thinking styles (MTS) theory about the correlations between preferences of certain MTS and mathematical performance. For…

This paper presents a case study of the experiences of a special educator named Ms. Montes (pseudonym) teaching standards-based mathematics during Emergency Remote Teaching (ERT) during spring 2020. Ms. Montes was interviewed twice during this period; data were analyzed through inductive thematic analysis. Pre-COVID, Ms. Montes provided her…

In 2015 an urban school district reported that 84.6% of third graders did not demonstrate proficiency on the Math Standardized Test, which challenges students to solve problems and justify solutions. Since 2006 there has been a negative trend of proficiency levels on the New York State (NYS) Math Exam in third grade. I propose that students may be…

The environment is a global issue that must be addressed in a variety of ways, including education. Environmental topics will be included into mathematics, which is allowed to boost students' awareness of environmental concerns. This is a qualitative study conducted in a qualitative technique. The objectives of this study were to (1) describe…

Recent scholarship around teaching elementary mathematics supports the learning of early algebra with 5- to 12-year olds. However, in spite of the recognition of the affordances of early algebra, issues about how to introduce it remain open. Within this context, Davydov's work is often cited as a source of impressive demonstration of young…

Prospective teachers and cryptography students use programming, statistics and guile to enrich both their courses.

Generalisation is a key feature of learning algebra, requiring all four proficiency strands of the Australian Curriculum: Mathematics (AC:M): Understanding, Fluency, Problem Solving and Reasoning. From a review of the literature, we propose a learning progression for algebraic generalisation consisting of five levels. Our learning progression is…

Number talks are short mathematical discussions offering sensemaking opportunities for students. Aside from bolstering students' mathematical learning, this instructional routine may also support preservice teachers (PSTs) in investigating how to facilitate discussion-focused instruction. In this study, PSTs engage in a learning cycle to explore,…

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…

This document includes instructional tips on: (1) Building on students' informal understanding of sharing and proportionality to develop initial fraction concepts; (2) Helping students recognize that fractions are numbers that expand the number system beyond whole numbers, and using number lines to teach this and other fraction concepts; (3)…

Many randomized controlled experiments in the classroom have found that mathematics learning is improved dramatically when practice problems of one kind are distributed across multiple assignments (spaced) and mixed with other kinds of problems (interleaved). In two studies, we investigated students' knowledge of spacing and interleaving. In Study…

The purpose of the present study is to examine the effectiveness of the Conceptual Model-based Problem-Solving intervention program (COMPS) along with instructional scaffolds to enhance the performance of English learners (ELs) with learning difficulties in mathematics (LDM) to solve word problems. The participants were three third-grade ELs with…

Collaboration scripts and heuristic worked examples have been described as powerful scaffolds to support skill acquisition in CSCL. While CSCL scripts particularly facilitate argumentative discourse within groups, heuristic worked examples provide heuristics and worked out pathways to solve domain-specific tasks. Yet, both scripts and heuristic…

Geometry is one of the basic areas of school mathematics education, and it is important for elementary students. However, students with mathematics learning disabilities (MLD) struggle with geometry learning. Research has demonstrated that concrete-representational-abstract (CRA) teaching is an effective practice for students with learning…