The presented article is dedicated to a new way of teaching substitution in algebra. In order to effectively master the subject matter, it is necessary for students to perceive the equal sign equivalently, to learn to manipulate expressions as objects, and to perceive and use transformations based on defining their own equivalences. According to…

The purpose of this study is to present the need for stakeholders to share an agreed-on Theory of Change (ToC) during the various phases of an implementation process. To this end, we draw on the Swedish Boost for Mathematics (BM), a large-scale national educational initiative, and its intrinsic 'algebra' instructional module. More precisely, we…

The aim of this study is to investigate the effect of using manga comics in Linear Algebra course on elementary mathematics teacher candidates' attitudes and achievement towards the course. Pre-test-post-test control group experimental design was used in the study. The study was conducted with 48 elementary mathematics teacher candidates' taking…

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…

Professional development schools (PDS), a specific type of school-university partnership, offer distinctive learning environments for teachers by encouraging innovation and modeling best instructional practices. In PDS partnerships, opportunities abound for teachers to assume learning-focused leadership roles such as team lead, instructional…

This paper describes a 54-hour summer institute for grades 6-12 mathematics and science teachers (N = 19) with a comprehensive approach to preparing teachers to use computational thinking (CT) in their classrooms, including training in Python computer programming with Lego® Mindstorms® robotics, mathematics content sessions, and opportunities 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 study aims to investigate the effectiveness of the Emporium instructional method in a course of college algebra and trigonometry by comparing to the traditional lecture method. The math emporium method is a nontraditional instructional method of learning math that has been implemented at several universities with much success and has been…

University mathematics education (UME) is considered, in this paper, as a kind of "didactic practice"--characterised by institutional settings and by the purpose of inducting students into "mathematical practices." We present a research programme -- the anthropological theory of the didactic (ATD)--in which this rough…

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…

The traditional lecture style of teaching has long been the norm in college science, technology, engineering, and mathematics (STEM) courses, but an innovative teaching model, facilitated by recent advances in technology, is gaining popularity across college campuses. This new model inverts or "flips" the usual classroom paradigm, in…

The uptake of technology and specifically, GeoGebra software, in teaching mathematics has had mixed success in spite of its documented benefits. This study investigated teachers' perspective towards training and eventual use of GeoGebra as a tool to enhance learning of mathematics. In this article we share findings from a larger study that was…

This study examines the process of change among grade 4 teachers (students aged 9-10 years) who participated in a yearlong Teacher Quality Grant innovation program. The concerns-based adoption model (CBAM), which informed the design and implementation of the program, was used to examine the process of change. Two questions guided the…

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…