This book is a teacher's resource guide designed to help students gain the range of math skills they need to succeed in life, work, and on standardized tests; overcome math anxiety; discover math as interesting and purposeful; and develop good number sense. Topics covered in this book include algebra and geometry. Lessons are organized around four…

Quality instruction and student engagement in mathematics are strategies that are becoming more vital as the new century unfolds. To prepare for living and working in a technically intensive world, high school students need a culture of high expectations, quality college-preparatory-level courses and numeracy across the curriculum. The following…

The paper provides a college mathematics student's concept maps, definitions, and essays to support the thesis that language-based prior knowledge can influence students' cognitive processes of mathematical concepts. A group of intermediate algebra students who displayed terms mainly from the spoken language on the first and the second concept…

This study was performed to determine whether hierarchical logistic regression models could reduce the sample size requirements of ordinary (nonhierarchical) logistic regression models. Data from courses with varying class size were randomly partitioned into two halves per course. Grades of students in college algebra courses were obtained from 40…

This study examined the cognitive impact of implementing a computer algebra system (CAS) on six intermediate algebra classes at Orange Coast College (California). The control group of three classes was taught using the traditional method of instruction and scientific calculators. The other three classes were the experimental group and were taught…

Currently, in Texas public schools, there is a shortage of teachers holding secondary mathematics teaching certification. Many teachers have limited access to professional development opportunities due to occupational commitments, geographic proximity, family obligations, or inconvenience of transportation. However, with the incorporation of…

This paper reports the results of student use of a TI-92 graphing calculator to solve algebra and analytic geometry problems in 9th grade Austrian classes. Students who had been trained in using the TI-92 were asked to compute x, given that a right-angled triangle had sides x, x+3, and x+6 in at least three ways, and to document their solution…

This study examined quantitatively the effects of varying retention intervals (RI) within a 4 X 4 block schedule on knowledge retention of Algebra 2 skills and concepts. Specifically, the study contrasted the mean scores of students having an RI of 0, 8, and 12 months on a pre-review, post-review, and end-of-course test in precalculus. The study…

This booklet presents the high school assessment program for algebra by listing Maryland's Core Learning Goals. The match of content indicators and the skills for successful elaborations in thinking, communication, and technology regarding algebra are discussed. (ASK)

This paper discusses learning outcomes resulting from three national curricular reform efforts in mathematics. Focus is placed on the College Board's Equity 2000 program which operates on the principle that all students are given the opportunity to demonstrate high levels of academic achievement in mathematics. Information is provided on the…

This study examined the relative efficacy of the Anchorage (Alaska) Pre-Algebra Test and the State of Alaska Benchmark in 2 Math examination as tools used in the process of recommending grade 6 students for grade 7 Pre-Algebra placement. The consequential validity of the tests is explored in the context of class placements and grades earned. The…

Many mathematics educators have lost sight of the critical importance of the mathematical understanding which underlies procedural competence, in part because we do not have a language to refer to this kind of understanding. The modal way of categorizing mathematical knowledge--conceptual and procedural knowledge--is limited in that: (a) it is…

The PUMP Algebra Project was a systemic effort in a mid-size urban city focusing on professional development of middle school mathematics teachers, which had a long-term goal of enabling more minority students to be algebra-ready by the end of 8th grade. The development of teacher leaders was not a targeted focus of the Project; it was a major…

This book provides a resource for mathematics teachers to understanding the National Council of Teachers of Mathematics' (NCTM) standards and implementing these standards in their teaching. Five standards are overviewed: (1) number and operation; (2) algebra; (3) geometry; (4) measurement; and (5) data analysis and probability. Lesson plans are…

This paper argues that using Computer Algebra Systems (CAS) to teach 12- to 18-year-old students is going to change teaching methods, the content of what has been taught, and exams. Traditional exam questions are analyzed and categorized according to their usefulness in a CAS environment. The goal is to give teachers new perspectives with which to…