The Program for International Assessment of Adult Competencies, better known as PIAAC, developed a numeracy assessment framework that was used internationally to assess adults' numeracy skills. The assessment gauged adults' (aged 16-65 years) numeracy skills across a full range, from adults with very low levels of numeracy to college level math…

In this book from bestselling author Dr. Nicki Newton, you'll learn how to level math workstations to engage K-2 students in meaningful, purposeful, rigorous practice. We know students don't learn at the same pace, so how do we take into account where they are and differentiate instruction? Dr. Nicki has the answers, showing how leveled…

Advancement of testing of mathematical problem-solving skills calls for open-ended, realistic tasks particularly susceptible to bias, compromising the score validity and fairness of tests. Informed by universal design principles, this study framed 360 prototype items developed for the "Problem-solving Measures Grades 6-8 Computer Adaptive…

A solid understanding of fractions is the cornerstone for acquiring proficiency with rational numbers and paves the way for learning advanced mathematical concepts, such as algebra. Fraction difficulties limit not only students' educational and vocational opportunities but also their ability to solve everyday problems. Students who exit 6th grade…

In this meta-analysis of single-case designs, the researchers investigated the effects of word-problem instruction for students with learning disabilities in Grades 1 through 12, as reported in 20 peer-reviewed articles published between 1975 and 2020. A two-level multilevel model with a robust variance estimation method was implemented to…

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…

Metacognitive self-regulation is the ability to organize an individual's mental activities according to his/her goals, and it has been found to affect students' mathematics achievement. However, its relationship with problem-solving and posing skills is still not clarified. This study aims to examine the mediating role of metacognitive…

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…

Prior work exploring preschool-aged children's reasoning with repeating patterns has shown that patterning ability is an important predictor of math achievement; however, there is limited research exploring older children's growing pattern task performance. The current study tested whether presentation format impacts performance on growing pattern…

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…

Mathematical literacy and numeracy are critical for students during school and post-graduation, however, many U.S. students do not develop the mathematical skillset needed for college or the workplace, despite curricular importance placed on solving problems encountered in mathematics classrooms and spaces. Part of this skillset for critical…

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…

If students are asked, "What is the world water crisis?" how would they respond? In the authors precalculus classes, this question is often met with blank stares and students avoiding eye contact. Many students are unaware of the world water crisis--what it is, why it is, or who it affects. Even fewer realize the utility of trigonometry…

Dyscalculia presenting 3 to 6.5% of all those who need remediation in mathematics to enhance their ability of solving word problem. The study aimed to use sketchnote and working memory-based intervention to enhance word problem solving ability of students with dyscalculia. Thus, the study examined the role of integrated intervention involving both…

The integer is a basic concept in studying arithmetic and algebra. However, students still frequently experience misconceptions, especially in negative integer, count operations. Traditional games are activities that are often carried out by students in coastal areas so that they are relevant to be used as a tool to construct learning trajectories…