Over the past decade, teaching mathematics ambitiously has received increased attention. In this paper, we argue that to materialize this vision in contemporary classes we need to understand how practicing teachers experiment with certain aspects of this teaching and what challenges they encounter. Toward this end, we focus on an aspect of…

The learning of multiplication facts has long been an important focus of the primary grades, but lasting mastery of facts requires a meaningful approach that develops all four components of mathematical proficiency (understanding, fluency, problem-solving, and reasoning). This article shares how visual imagery in the form of Quick Looks with dot…

For teachers to provide students with meaningful instruction in area measurement, teachers need robust understandings of area. Here, I describe two cycles of a "lesson experiment" used to investigate prospective teachers' understandings of area units in an undergraduate mathematics class. For each cycle, I collected and analyzed the…

The aim of this study was to examine 6th-grade students' mathematical abstraction processes related to the concept of variable by using the teaching experiment method and to reveal their learning trajectories in the context of the RBC+C model. A teaching experiment was administered to a class of 29 middle school students for 3 weeks. Observations,…

The research was aimed to investigate the effect of various, innovated teaching models to improved the student's achievement in various topic in Mathematics. The study was conduct experiment by using innovated teaching with contextual, media and web which are the compared. with conventional teaching method. The result showed the innovation in the…

This paper is a study of part of the Algebra Project's program for underrepresented high school students from the lowest quartile of academic achievement, social and economic status. The study focuses on students' learning the concept of function. The curriculum and pedagogy are part of an innovative, experimental approach designed and implemented…

In this article we consider data arising from student-teacher-researcher interactions taking place in the context of an experimental teaching program making use of multiple modes of communication and representation to explore three-dimensional (3D) shape. As teachers/researchers attempted to support student use of a logo-like formal language for…

Background/Context: A number of recent policies have specifically attacked immigrants and English Language Learners (ELLs), including Georgia's HB 87 (2011), Arizona's SB 1070 (2010), and Alabama's HB 56 (2011), among others. The policy focus of this study is Arizona's HB 2064 (2006), which added additional requirements that mandate tracking…

Casyopee is an evolving project focusing on the development of both software and classroom situations to teach algebra and analysis at upper secondary level. In this article, we sketch the rationales for the Casyopee project in relationship with the focus on functions in upper secondary curricula. To evaluate Casyopee's contribution, we present…

The study compated two methods of teaching the use of the log-log slide rule in engineering courses, a straight lecture method or a lecture-laboratory method. The lecture method consisted of two separate hours a week with class discussion and demonstration by the instructor. The lecture-laboratory method comprised one hour of lecture and…

During each of two school quarters, approximately 60 college students enrolled in a mathematics course were randomly assigned to an experimental group or a control group. The control group received instruction by the lecture method only; the experimental group received the same instruction, except that six computer-assisted instruction (CAI) units…

A teaching experiment to evaluate the language approach to learning graphical interpretation is described. A series of experiments using a science laboratory were described using either tables or graphs and the approaches contrasted. (MP)

AN INITIAL ATTEMPT TO EVALUATE PROGRAMED INSTRUCTIONAL MATERIAL IN ALGEBRA CLASSES LED TO FURTHER EXPERIMENTATION WITH A VARIETY OF PROCEDURES. IN 1964-65, NO SIGNIFICANT DIFFERENCES WERE FOUND IN THE PERCENT OF STUDENTS SUCCEEDING IN PROGRAMED AND CONVENTIONAL CLASSES, THOUGH STUDENTS IN PROGRAMED SECTIONS DID NOT SEEM MOTIVATED TO WORK AT THEIR…

College freshmen who have poor educational backgrounds are found to be deficient in mathematics and often also lack skills in English. Their difficulty with basic mathematics is further aggravated by traditional teaching techniques that demand extensive reading ability and a thorough knowledge of English. At Morgan State College, a non-verbal…