Demonstrates how to construct rational, exponential, and sinusoidal functions that appear normal on one scale but exhibit interesting hidden behavior when viewed on another scale. By exploring these examples, students learn the importance of scale, window size, and resolution effects in computer and calculator graphing. (MAZ)

Stresses using the features of graphing calculators to teach parametric equations much earlier in the curriculum than is presently done. Examples using parametric equations to teach slopes and lines in beginning algebra, inverse functions in advanced algebra, the wrapping function, and simulations of physical phenomena are presented. (MAZ)

A mathematical model is used to represent a physical problem. The resulting polynomial is graphed and analyzed. Students are asked to plot families of related polynomial functions and observe patterns. A partial list of possible observations is included. End behavior, complete graph, and classroom use of technology are discussed. (GW)

This study compared the effectiveness of using classwide peer tutoring (CWPT) in 14 heterogeneous eighth-grade math classrooms with traditional independent student practice to teach problem-solving skills to students in beginning algebra. Both CWPT and independent practice were equally effective strategies with students identified as at risk or…

Discusses integrated learning systems (ILSs) and describes a study that considered the degree of linear relationship between time spent on the ILS and outcome achievement on ninth-grade algebra students. The effects of previous math and verbal achievement and sex differences are explored, and measurement instruments are described. (Contains 14…

Describes the Algebra Project, an organizing effort rooted in the southern civil rights movement that cultivates mathematics (particularly algebra) literacy among African American, Hispanic, and other poor middle school students. It prepares them to enter high school ready for college preparatory work and to enter college ready for college level…

This study examines the effects of using Texas Instruments' Voyage 200 calculator (V200), a graphing calculator with a built-in computer algebra system (CAS), on attitudes towards CAS and achievement in mathematics of junior college students (17 year olds). Students' attitudes towards CAS were examined using a 40-item Likert-type instrument…

The practice of students going to the boards to work problems has been a tradition in undergraduate education for over two hundred years. A study was conducted to determine what instructional techniques enabled students to better learn fundamental concepts in mathematics. This study identifies board work as a highly effective instructional…

This study (N = 48) examined the relationship between preservice secondary teachers' subject-matter expertise in mathematics and their judgments of students' algebra problem-solving difficulty. As predicted by the "expert blind spot" hypothesis, participants with more advanced mathematics education, regardless of their program affiliation or…

This study investigated the interactive effects between students' opportunity to learn (OTL) in the classroom, two language-related testing accommodations, and English language learner (ELL) students and other students of varying language proficiency, and how these variables impact mathematics performance. Hierarchical linear modeling was employed…

This article describes an approach to teaching linear equations using multiple representations in a highly motivating context. Connections among representations are made explicit to enhance understanding and empower students. (Contains 4 figures.)

While it has been suggested that patterning activities support early algebra learning, it is widely acknowledged that the shift from perceiving patterns to understanding algebraic functions--and correspondingly, from reporting empirical patterns to providing explanations--is difficult. This paper reports on the collaborations of grade 4 students…

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…

This document compiles an "honest list" of what is needed for adult numeracy. The first section consolidates the four posited Massachusetts Adult Basic Education (ABE) Math Standards into three adult numeracy themes: relevance/connections, problem solving/reasoning/decision making, and communication. A discussion of each theme is followed by some…

This study assessed whether providing examinees with a choice between computerized adaptive testing (CAT) and self-adaptive testing (SAT) affects test performance in comparison with being assigned a CAT or SAT, and evaluated variables influencing examinee choice of either test form. The relative influences of test type and test choice on examinee…