Learning progressions have become an important construct in educational research, in part because of their ability to inform the design of coherent standards, curricula, assessments, and instruction. In this paper, I discuss how a learning progressions approach has guided our development of an early algebra innovation for the elementary grades and…

Multilingual learners (MLs), also referred to as English learners (ELs) in US K-12 public schools, and specifically newcomer MLs who have been in US schools for 2 years or less, are expected to learn the English language and reach grade level standards as their monolingual English-speaking peers. Mathematics education in the US has struggled over…

This case study highlights a high school math teacher's successful journey of taking the steps needed to move away from traditional teaching methods to innovative pedagogies supporting mastery-based teaching and learning. Mastery-based learning (also called competency-based learning) is a shift away from traditional, one-size-fits-all teaching.…

In 2017 Georgia instituted a flexibility policy through which school districts enter into performance contracts with the state that grant districts waivers from state rules and allow schools and districts greater autonomy. In exchange, schools and districts must meet academic performance targets. The performance contracts are intended to…

This chapter describes a promising new approach to teaching developmental arithmetic and prealgebra, and presents research findings that demonstrate how a faculty support network helped instructors adopt new teaching strategies and gain confidence in teaching the reformed course.

This article reports on techniques of teaching abstract algebra which were developed to achieve multiple student objectives: reasoning and communication skills, deep content knowledge, student engagement, independence, and pride. The approach developed included a complementary combination of inquiry-based learning, individual (not group) homework…

In order to improve the quality of technology instruction, the Career and Technical Education (CTE) Business Department in the Spokane Public School district has aligned its Computer Applications (CA) course to the district's ninth-grade Springboard (Language Arts) curriculum, Algebra I curriculum, and the Culminating Project (senior project)…

To platoon or not to platoon? That's the question facing Irving Hamer, Deputy Superintendent of Academic Operations, Technology and lnnovation for the Memphis City Schools. This year for the first time, the state's achievement test, Tennessee Comprehensive Assessment Program (TCAP), will include algebraic concepts on the 5th-grade test. Of the…

Getting high school students to enjoy mathematics and to connect concepts to their daily lives is a challenge for many educators. The Mathematics of Skateboarding demonstrated innovative and creative ways to engage students in content and skills mapped to state requirements for high school students in Algebra and Geometry.

Partnership for Access to Higher Mathematics uses fiber-optic technology in a partnership program among Southwest Texas State University, the San Marcos School District, the telephone company, and the community to significantly improve the mathematical skills of at-risk students. (MLF)

Few historic episodes in American history have imparted a more potent plea for social justice and inclusion than the civil rights movement in the 1950s and 1960s. In the past two decades, legendary activist Bob Moses has channeled the best of the civil rights tradition into a campaign of school reform and curriculum development with the nationally…

Described is the notion of multiple alternative representations of mathematical reasoning, particularly as they relate to algebraic notation and the potential of computers to change representations. Features of a desirable notation for algebraic problem solving are described. This is followed by a description of the RAND Corporation's intelligent…

This project supported the creation of a computer-based interactive text for linear algebra using guided discovery in a laboratory-based course which emphasized active learning, collaborative learning, and the use of writing. This pedagogical approach had as its goal improved student understanding and retention of the concepts and methods of…

Algebridge, the first phase of a University of Arizona project (PRIME) to promote higher education among minority middle school students, makes algebra more accessible by smoothing students' transition to abstract thinking and pinpointing potentially frustrating concepts. The program helps at-risk youngsters dispel their fear of math and clear the…

A study was undertaken at Central Arizona College to determine the effect of writing activities on student performance in College Algebra. An experimental group of eight students was established and given lists of math-related vocabulary words and problems which required written explanations. Quizzes were constructed requiring the group to respond…