Instructional practices in mathematics courses at two-year colleges include lecture as the predominant instructional form in 78% of two-year colleges, with class sizes averaging about 26 students (AACC, 2005). The National Assessment of Educational Progress (NAEP) indicates that there is a need for change in the practices of mathematics teachers…

Four organizations with promising practices in teacher Professional Growth & Support have significantly raised outcomes for low-income students. The charter management networks, Achievement First and Aspire Public Schools, and the two reform organizations, Teach Plus and Agile Mind, have successfully increased student achievement with a…

In higher education in the state of Arkansas, two courses are considered to be gateway courses to obtaining a college degree--College Algebra and English Composition I. While students may obtain Certificates of Proficiency and Technical Certificates without taking these courses, few, if any, can earn an Associate's or Bachelor's degree without…

This new addition to Math Solutions "Supporting English Language Learners in Math Class series" offers a wealth of lessons and strategies for modifying grades 6-8 instruction. Section I presents an overview of teaching math to English learners: the research, the challenges, the linguistic demands of a math lesson, and specific strategies and…

Algebra is the language that must be mastered for any course that uses math because it is the gateway for entry into any science, technology, engineering, and mathematics (STEM) discipline. This book fosters mastery of critical math and algebraic concepts and skills essential to all of the STEM disciplines and some of the social sciences. This…

The growing epidemic of male underachievement has spawned a great deal of research in the recent past. This body of research has been inconclusive in determining the causes of the problem. This Capstone Project looked at six factors to determine if any of them had a significant effect on the math achievement of either gender. This study was…

This article presents a descriptive account of an after-school study. The participants--Allan (male, ten years), Veronique (female, nine years), and William (male, ten years)--all spoke English as their first language and were considered by their classroom teachers to be meeting the provincially set expectations for the fifth-grade curriculum…

Negation, conjunction, and disjunction are major building blocks in the formation of concepts. This article presents a new model-based theory of these Boolean components. It predicts that individuals simplify the models of instances of concepts. Evidence corroborates the theory and challenges alternative accounts, such as those based on minimal…

Although research has shown that self-efficacy beliefs predict academic achievement across all academic subjects and levels, little is known about the effect of using spreadsheets on self-efficacy beliefs in mathematics. This study is an investigation of the effect of instruction that includes spreadsheet-based purposeful activities on secondary…

To build on prior knowledge and mathematical understanding, middle school students need to be given the opportunity to make connections among a variety of representations. Graphs, tables, algebraic formulas, and models are just a few examples of representations that can help students explore quantitative relationships. As a mathematics educator,…

Ordinary differential equations (ODEs) are one of the important topics in engineering mathematics that lead to the understanding of technical concepts among students. This study was conducted to explore the students' understanding of ODEs when they solve ODE questions using a traditional method as well as a computer algebraic system, particularly…

The activities suggested in this article are intended for use with lower secondary school students. The "Australian Curriculum: Mathematics" states that students in lower secondary school should "investigate the relationship between features of circles such as circumference, area, radius and diameter" and "use formulas to…

What is the role of patterns in developing algebraic reasoning? This important question deserves thoughtful attention. In response, this article examines some differing views of algebraic reasoning, discusses a controversy regarding patterns, and describes how three types of patterns--in contextual problems, in growing geometric figures, and in…

We propose the development of a "population" of high-quality assessment tasks that cover the performance goals set out in the "Common Core State Standards for Mathematics." The population will be published. Tests are drawn from this population as a structured random sample guided by a "balancing algorithm."

The dissertation study reported here describes various policies and strategies used by school districts that impact student performance on the Missouri Algebra 1 End-of- Course (EOC) assessment. Analysis of state testing data, teacher survey data, and interview data were used to describe policies and strategies used by 42 teachers and…