Prior to the 2010 release of the Common Core State Standards for Mathematics (CCSSM), the curricular landscape in the United States consisted of an assortment of individual state standards that as a collection reflected little consensus as to the grade placement of specific mathematical content. As CCSSM has now been used as the foundation for…

This is the fourth in a series of statistical articles for mathematics teachers. In this article, the authors discuss topics in General Mathematics in Unit 2 Topic 1 (Univariate data analysis and the statistical investigation process) and topics in Essential Mathematics, Unit 2 Topic 1 (Representing and comparing data).

Ascertaining young children's attitudes towards mathematics has its challenges. Methodologically, limitations exist regarding the type of research techniques that can be employed. The use of children's drawings as a data source has both methodological affordances and issues. The study was conducted with 106 children in Years 2 and 3 from three…

The practice assignments in a mathematics textbook or course can be arranged so that most of the problems relating to any particular concept are massed together in a single assignment, or these related problems can be distributed across many assignments -- a format known as spaced practice. Here we report the results of two classroom experiments…

Effective early mathematics instruction is critical to support long-term mathematics achievement. Given that student response to typical instruction varies, a range of mathematics interventions have been developed to support foundational mathematics development. However, not all students respond to these interventions. To better understand factors…

Mathematics education, especially in school settings, is too often a disempowering experience for learners, who come away with the educationally and economically limiting impression that mathematics is not for them. I seek to broaden participation in mathematical practices by exploring the theoretical implications and design heuristics that can be…

Effective early mathematics instruction is critical to support long-term mathematics achievement. Given that student response to typical instruction varies, a range of mathematics interventions have been developed to support foundational mathematics development. However, not all students respond to these interventions. To better understand factors…

This ex post facto correlational study assessed the effectiveness of an ILS, i-Ready Instruction, on student growth in the elementary school setting. The existing limited independent research has not supported the claims that the creators of i-Ready Instruction have made regarding increasing student achievement or growth. Based on the results from…

This quantitative exploratory study examined the relationships among high school students' school engagement, socioeconomic status (SES), mathematics self-efficacy, and mathematics achievement. The study investigated whether school engagement and socioeconomic status contribute to students' mathematics achievement. Furthermore, the study explored…

The concept of academic momentum links student enrollment patterns to degree completion whereby patterns of meaningful, consistent collegiate enrollment increase the likelihood of earning a degree. Academic momentum encompasses both a student's trajectory and rate of progress toward a tangible academic outcome with a core assumption that momentum…

This paper proposes a rationale that supports a renewal of our predominantly 19th century curriculum for Grades 7-12, identified as Mathematics 1.0. It was originally established in the mid 1800s to prepare learners mostly from upper-class families to succeed in a post-industrial society. Today's digital revolution has changed society remarkably,…

While students were constructing the concept of rates of change, linear relationships, and nonlinear relationships in a first-year algebra class, the wanted to build a task that allowed them to increase their understanding of covariation, that is, how two variables change in relation to each other. Research has shown that students who have built…

Teachers' questions shape the instructional environment and the direction of mathematics discussions in critical ways. This article is the product of a research study on the relationship between teachers' questions and student engagement in the Standards for Mathematical Practice (SMP) during whole-class discussions. Using classroom video gathered…

A growing body of research has shown that symbolic number processing relates to individual differences in mathematics. However, it remains unclear which mechanisms of symbolic number processing are crucial--accessing underlying magnitude representation of symbols (i.e., symbol-magnitude associations), processing relative order of symbols (i.e.,…

We used a matched samples design to compare outcomes of students enrolled in a traditional model of developmental mathematics education with a similar group of students coenrolled in developmental and college-level math courses. Drawn from students enrolled in a pilot program at nine community colleges in a Southeastern state, we compared 208…