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Jul 6, 2010
07/10

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Manfre, Edward; D.C. Heath and Company

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At head of title: Count on us

Topics: Mathematics, Mathematics, Mathematics (Curriculum Center)

GRADES OR AGES: Kindergarten. SUBJECT MATTER: Using Cuisenaire rods. ORGANIZATION AND PHYSICAL APPEARANCE: The guide contains a short introductory section followed by a sequential series of 40 lessons. Diagrams are interspersed throughout the text. The guide is mimeographed and spiral bound with a soft cover. OBJECTIVES AND ACTIVITIES: The introductory section describes the objectives of using Cuisenaire rods. Each lesson contains a detailed sequence of activities with the rods designed to...

Topics: ERIC Archive, Curriculum Guides, Kindergarten, Mathematics Curriculum

GRADES OR AGES: K-6. SUBJECT MATTER: Mathematics. ORGANIZATION AND PHYSICAL APPEARANCE: Although the content is divided into seven skill levels, variations may be made in their use and two topics may be taught simultaneously. Each level is organized in two parts, the first having columns showing activities with examples, textual resources; and related resources, the second containing tests and answer keys. The guide is xeroxed and spiral-bound with a plastic binder. OBJECTIVES AND ACTIVITIES:...

Topics: ERIC Archive, Curriculum Guides, Elementary School Curriculum, Kindergarten, Mathematics Curriculum

This report summarizes evidence from studies that estimate the effects of interventions for improving the mathematics proficiency of middle school students and that meet What Works Clearinghouse (WWC) evidence standards, usually with some reservations.

Topics: ERIC Archive, Mathematics Achievement, Middle School Students, Intervention, Mathematics Curriculum

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HPS Mathematics Curriculum Review dumped with WikiTeam tools.

Topics: wiki, wikiteam, wikispaces, HPS Mathematics Curriculum Review, placentino, placentino.wikispaces.com

"The Expert Mathematician" is a three-year program of software instruction with 196 lessons, each ranging from one to three class periods. It covers general mathematics, pre-algebra, and algebra I. It uses the "Logo" computer language to focus on writing, operating, and applying mathematical procedures to study concepts, investigate logical relationshiops, and solve problems.

Topics: ERIC Archive, Computer Software, Middle Schools, Mathematics Curriculum, Middle School Students,...

This annotated bibliography identifies French language resources endorsed from 1990-1999 by all Western Canadian Protocol (WCP) jurisdictions implementing the Common Curriculum Framework for K-12 Mathematics for K-12 (Common Curriculum Framework). Resources in this bibliography were selected through a collaborative review process based on their high level of fidelity with the rationale, philosophy, mathematical processes, and outcomes of the Common Curriculum Framework. The resources have...

Topics: ERIC Archive, Educational Resources, Elementary Secondary Education, Foreign Countries,...

The Nebraska K-12 Mathematics Standards are intended to reflect what students should know and be able to do by the end of the grades 1, 4, 8, and 12. In addition to identifying grade-level specific standards, the content standards are further divided into six topic strands: (1) Numeration/Number Sense; (2) Computation/Estimation; (3) Measurement; (4) Geometry/Spatial Concepts; (5) Data analysis, Probability, and Statistical Concepts; and (6) Algebraic Concepts. This document also lists Nebraska...

Topics: ERIC Archive, Academic Standards, Elementary Secondary Education, History, Mathematics Curriculum,...

Two issues of the Soloworks newsletter contain information about the Soloworks project, computer equipment, and the educational philosophy that underlies the student-controlled computer based approach to secondary school mathematics instruction. (JY)

Topics: ERIC Archive, Computer Assisted Instruction, Computer Graphics, Laboratories, Mathematics...

This document, from "The Teacher's Desk Reference to Standards and Performance Indicators for Curriculum Planning and Unit Development," is part of the Delaware Department of Education's ongoing efforts to provide assistance and support to local school districts in their development of a standards-based curriculum. This document explains high school performance indicator models 1 and 2 for mathematics education. Standards 1-10 are presented citing the skills and abilities for students...

Topics: ERIC Archive, Academic Standards, High Schools, Mathematics Curriculum, Mathematics Education,...

GRADES OR AGES: Secondary school. SUBJECT MATTER: Consumer mathematics including--money management, transportation, probability, swindles and gyps, insurance, housing, taxes, consumer credit, banks, savings, and investments. ORGANIZATION AND PHYSICAL APPEARANCE: The guide is divided into ten parallel units, one for each of the above areas, which lists objectives, activities, and materials. It is offset printed in a hard-cover, looseleaf notebook. OBJECTIVES AND ACTIVITIES: Behavioral objectives...

Topics: ERIC Archive, Curriculum Guides, Mathematical Applications, Mathematics Curriculum, Secondary...

This document presents a South Carolina statewide consensus of what children are expected to know and be able to do in mathematics and the changes necessary in the education system to support what teachers and students do every day in the classroom. Chapter titles are: (1) "A Vision for Change"; (2) "Learning and Teaching Mathematics"; (3) "K-12 Mathematics Curriculum"; (4) "Instructional Materials"; (5) "Assessment"; (6) "Professional...

Topics: ERIC Archive, Community Support, Elementary Secondary Education, Instructional Materials,...

This paper consists of an address given at the Conference of Canadian Mathematicians and Mathematics Educators on June 4, 1978. The author sets the stage for concluding remarks with examples, stories, illustrated anecdotes, and observations of the influence of several "mathematicians" and "mathematics interpreters" on curriculum development. He concludes that mathematicians do have much to offer curriculum development and proceeds to list relevant strong points. The address...

Topics: ERIC Archive, Conferences, Curriculum Development, Elementary Secondary Education, Mathematicians,...

Prior to an extensive literary and active research, the researchers hypothesized that the Comprehensive School Mathematics Program (CSMP) would be effective only if implemented on a school-wide, uniform manner that followed the strict CSMP guidelines. Two extensive surveys on teacher attitudes concerning CSMP were administered to teachers in a rural elementary school. One survey questioned CSMP teachers, and the other questioned non-CSMP teachers. Results indicated that a varied approach to...

Topics: ERIC Archive, Elementary Education, Elementary School Teachers, Mathematics Curriculum, Mathematics...

"Mathematics in Context" is a middle school mathematics curriculum for grades 5 through 8. It was developed to align with the 1989 National Council of Teachers of Mathematics (NCTM) Curriculum and Evaluation Standards. It is also based on the Dutch Realistic Mathematics Education approach of engaging students in understanding real-life problems and gradually moving to abstract concepts. Rather than focusing on one mathematical domain at a time, "Mathematics in Context"...

Topics: ERIC Archive, Mathematics Curriculum, Middle Schools, Mathematics Instruction, Program...

In this study, Ridgway et al. found mixed results, depending on the assessment test used. With the Balanced Assessment (BA) test, positive significant differences were found between the Connected Mathematics Project (CMP) students and non-CMP students in grades 6, 7, and 8. The results for the Iowa Test of Basic Skills (ITBS) were less favorable in the CMP group, with results ranging from negative significance in 6th grade to nonsignificance in the 7th and 8th grades. Since the analysis was...

Topics: ERIC Archive, Grade 6, Mathematics Achievement, Mathematics Curriculum, Program Effectiveness,...

In a multicultural society such as Australia, it can be difficult to acquire a strong mathematics education because of language, locale, or other differences including access to technology. The widespread use of devices such as calculators and computers has changed the nature of work. It has become more important for students to have the confidence to use their mathematical knowledge and be able to apply mathematics throughout their lives. It is in the national interest that schools promote...

Topics: ERIC Archive, Access to Education, Elementary Secondary Education, Foreign Countries, Mathematics...

This report describes a research project that investigated how to design instruction to help children take the step to generalizing and formalizing their knowledge into powerful abstract systems for representing and operating mathematical ideas. The studies build on existing research on cognitively guided instruction (CGI). The goal of this paper is to begin to understand how to provide support for children to reflect on their procedures in order to form generalizations from them and construct...

Topics: ERIC Archive, Algebra, Elementary Education, Mathematics Curriculum, Mathematics Instruction,...

There are selected philosophies in the teaching of mathematics that can provide guidance to the teacher in developing the curriculum. This paper discusses four philosophies of teaching mathematics. (1) Idealism stresses that the pupil lives in an idea-centered mathematical world, but not an objective real world. Abstract content is prized more highly than concrete and semi-concrete representations. (2) Realism emphasizes that a person can know the real world in whole or in part as it really is....

Topics: ERIC Archive, Educational Philosophy, Elementary Secondary Education, Existentialism, Mathematics...

This document represents collaborative efforts to define what is valued and necessary in mathematics education for Pacific region children. Underlying assumptions to these standards include constructivism, communication, problem solving, connections, time for learning, and challenge for all students. The majority of the document contains the standards which are grouped into three grade-level sections, K-4, 5-8, and 9-12, and are based largely on the National Council of Teachers of Mathematics'...

Topics: ERIC Archive, Elementary Secondary Education, Learning Activities, Mathematics Curriculum,...

This is the third part of a three-part SMSG algebra text for high school students. Chapter titles include: Truth Sets of Open Sentences; Graphs of Open Sentences in Two Variables; Systems of Equations and Inequalities; Quadratic Polynomials; and Functions. (MK)

Topics: ERIC Archive, Algebra, Inequality (Mathematics), Mathematics Curriculum, Mathematics Instruction,...

The purpose of this project was to develop and test a series of programed mathematics textbooks for students who plan to enter clerical, retailing, construction, electronics, food service, child care, or agricultural occupations. Behavioral objectives were derived from an earlier analysis of tasks in these occupational clusters. From these, three mathematicians with aid from workers, supervisors, vocational teachers, and mathematics teachers, identified 21 specific mathematics competencies and...

Topics: ERIC Archive, Arithmetic, Curriculum Research, Fundamental Concepts, Mathematics Curriculum,...

THE APPENDIXES FOR THE TALENTED YOUTH PROJECT (TYP) MATHEMATICS STUDY INCLUDE THE MEASURING INSTRUMENTS AND TABLES COMPILED DURING THE INVESTIGATION. THE PROJECT COMPARED THE EFFECTIVENESS OF VARIOUS CURRICULUM PATTERNS AND PRACTICES IN MATHEMATICS EDUCATION CURRENTLY USED WITH ACADEMICALLY TALENTED JUNIOR HIGH STUDENTS. THE FOUR APPENDIXES ARE (1) INSTRUMENTS, (2) SEVENTH-GRADE TABLES, (3) EIGHTH-GRADE TABLES, AND (4) NINTH-GRADE TABLES. (GC)

Topics: ERIC Archive, Comparative Analysis, Junior High Schools, Mathematics Curriculum, Tables (Data),...

Presented is the work of the calculus group of SMSG. The Advisory Board expressed a desire for a suitable high school calculus text. The calculus group surveyed available texts and, finding none which met advisory board requirements, outlined a suitable course. This outline was annotated for use by future writers. Some group members felt a more extended discussion of topics, suitable for use by students, was needed. A subgroup drafted this student version and in doing so changed the outline....

Topics: ERIC Archive, Calculus, Mathematics Curriculum, Mathematics Instruction, Secondary Education,...

In this article the author presents readers with some very useful activities, ideas and problems. He has used these at various times over the years and together they make a very interesting collection. These pieces have come together from different sources, but like a jigsaw, they complete the picture of understanding of the numbers inside the building of triangles and pyramids.

Topics: ERIC Archive, Foreign Countries, Mathematical Formulas, High School Students, Mathematics...

The Georgia Learning Framework is a collaborative effort among community-based partners and professional educators to produce a vision of mathematics and science that will prepare all Georgia students for the 21st century. It identifies habits of mind, skills and knowledge, and dispositions that all students must possess to be productive citizens. Part 1 includes an introduction and discussion of the roles of students and teachers and transformations of mathematics and science. Part 2 presents...

Topics: ERIC Archive, Elementary Secondary Education, Mathematics Curriculum, Mathematics Instruction,...

This document constitutes the final report of a Curriculum Management Audit of mathematics education in the Montgomery County Public Schools (Maryland). The audit was commissioned by the Montgomery County Public Schools Board of Education/Governing Authority within the scope of its policy-making authority. The audit was conducted June 5-9, 2000. Document analysis was performed off site, as was the detailed analysis of findings and site visit data. A curriculum audit is designed to reveal the...

Topics: ERIC Archive, Educational Policy, Elementary Secondary Education, Mathematics Achievement,...

This collection of brief essays covers a range of topics pertaining to mathematics education thought by the author to be of relevance. These include thoughts on: philosophy of education, noting diverse schools of thought; goals, noting ways to organize mathematics instruction; process objectives, with a brief list of objectives and comments on evaluation; trends; learning activities; psychology of learning, noting different ways to guide learners; and issues in mathematics education. (MNS)

Topics: ERIC Archive, Educational Trends, Essays, Learning Activities, Mathematics Curriculum, Mathematics...

This study presents research into the reform in school curriculum programs in Iowa for mathematics and science being implemented by the National Council of Teachers of Mathematics and the National Research Council. Outcomes of the study include: (1) a status report about teachers' concerns regarding adoption of the mathematics/science curriculum reform; (2) research data regarding gender, years of teaching, educational background, level of teaching, participation in mathematics education...

Topics: ERIC Archive, Curriculum Development, Educational Change, Elementary Secondary Education,...

As is the case in any country there is a constant search to improve the mathematics offerings presented to school-goers in South Africa. The activity surrounding this search was intensified after the attainment of democracy. The primary aim of this search was to establish a mathematics curriculum that would result in productive learning and the mastery of the goals set for the curriculum. Explicitly it is stated that school education should be a mechanism to contribute towards the development...

Topics: ERIC Archive, Mathematics Curriculum, Nontraditional Education, Mathematics Education, Democracy,...

This document compiles information about 13 comprehensive mathematics curriculum programs that were developed specifically to address the recommendations of the National Council of Teachers of Mathematics' (NCTM) Curriculum and Evaluation Standards for School Mathematics. Three of the programs are elementary programs, five are for middle school, and five are geared towards high school. All of these programs were developed with support from the National Science Foundation (NSF). Each description...

Topics: ERIC Archive, Academic Standards, Educational Resources, Elementary Secondary Education,...

North Carolina has had a Standard Course of Study since 1988. The most recent revisions of the state mathematics curriculum occurred in 1989 (K-8) and 1992 (9-12). The intent of the North Carolina Mathematics Standard Course Study is to establish competency goals and objectives for the teaching and learning of mathematics in North Carolina. The competency goals and objectives are organized within four strands: (1) Number Sense, Numeration, and Numerical Operations; (2) Spatial Sense,...

Topics: ERIC Archive, Academic Standards, Course Descriptions, Elementary Secondary Education, Mathematics...

GRADES OR AGES: 7-12. SUBJECT MATTER: Mathematics laboratory. ORGANIZATION AND PHYSICAL APPEARANCE: The guide has 10 sections: (1) introduction, explaining the nature of the student and the duties of the teacher; (2) personnel and their duties; (3) physical characteristics of the lab; (4) testing program; (5) evaluation procedure; (6) record keeping; (7) types of instruction; (8) initial organization; (9) description of the program; (10) recommendations for equipping a secondary mathematics...

Topics: ERIC Archive, Curriculum Guides, Learning Laboratories, Mathematics Curriculum, Remedial...

The preface to this book notes the relationship of its contents to the 1968 conference "to appraise mathematics educators of the present status and future prospects of computer-assisted instruction (CAI) and its implications for the teaching of mathematics." The introduction, "Computers in Mathematics and Other Education," was the keynote address by R. W. Gerard. Part 1 on CAI hardware development contains two papers: "Economically Viable Large-Scale Computer-based...

Topics: ERIC Archive, Computer Assisted Instruction, Mathematics Curriculum, Mathematics Instruction,...

The reform of elementary and secondary school mathematics education in the United States has received renewed attention with the publication of several mathematics reform documents and the 1989 Education Summit sponsored by the nation's governors and President Bush. This digest lists documents and programs in four areas: (1) curriculum and testing, which focuses on the reform of mathematics education and on projects which have begun to answer this challenge including the National Council of...

Topics: ERIC Archive, Educational Improvement, Elementary Secondary Education, Mathematics Curriculum,...

Mathematics as a curriculum area might be taught from the point of view of several philosophies of education. This paper discusses philosophical considerations in teaching mathematics such as the philosophy of experimentalism, philosophy of decision making, and measurement driven philosophy. It is concluded that the philosophy or philosophies chosen in instruction should harmonize with pupils' individual learning styles. (ASK)

Topics: ERIC Archive, Educational Philosophy, Educational Theories, Elementary Secondary Education,...

This document consists of the first three years worth (9 issues) of the serial, NCRMSE Research Review: The Teaching and Learning of Mathematics. Each issue reviews the research of the National Center for Research in Mathematical Sciences Education (NCRMSE). Major articles appearing during this period (1991-1994) are as follows: "Perspectives on Assessment"; "A Study of Reform of Mathematics Education"; "Cognitively Guided Instruction"; "Reflective...

Topics: ERIC Archive, Educational Assessment, Educational Change, Elementary Secondary Education,...

The Illinois Mathematics Assessment Framework is designed to assist educators, test developers, policy makers, and the public by clearly defining those elements of the Illinois Learning Standards that are suitable for state testing. It is not designed to replace a local mathematics curriculum and should not be considered a state mathematics curriculum. The Framework defines the mathematics content that will be assessed in the Illinois Standards Achievement Test (ISAT) beginning with the...

Topics: ERIC Archive, Mathematics Curriculum, Mathematics Achievement, Achievement Tests, State Standards,...

This annotated bibliography identifies the English language resources endorsed by all Western Canadian Protocol (WCP) jurisdictions implementing The Common Curriculum Framework for K-12 Mathematics for Kindergarten to Grade 9 (Common Curriculum Framework). Resources in this annotated bibliography were selected through a collaborative review process, based on their high level of fidelity with the rationale, philosophy, mathematical processes, and outcomes of the Common Curriculum Framework....

Topics: ERIC Archive, Educational Resources, Elementary Education, Foreign Countries, Instructional...

This report reviews the mathematics program of Miami-Dade public schools in grades 5 through 8 and provides recommendations about how technology might be used to improve learning opportunities for students. The main conclusion of the study and the conceptual foundation for all the conclusions and recommendations is that technology use must be undertaken as part of and within the context of systemic reform. The paper is divided into four sections. The first section reviews the literature to...

Topics: ERIC Archive, Mathematics Curriculum, Mathematics Education, Middle Schools, Program Evaluation,...

This report discusses the change in mathematics curriculum influenced by researchers, society, and the mathematics field. Many research results suggest that students should learn mathematics by experience. Students' misconceptions may be formed because of the sudden shift from arithmetic to algebra. Up to the eighth grade, mathematical content has been heavily repeated. For more of the active doing of mathematics, four common activities (abstracting, inventing, proving, and applying) and four...

Topics: ERIC Archive, Curriculum, Demonstration Programs, Elementary Secondary Education, Mathematics...

Riordan and Noyce (2001) report that schools that used the Connected Mathematics Project (CMP) for two to three years had greater gains in math achievement overall than those in the comparison group. Riordan and Noyce do not report whether this difference was statistically significant. However, t tests calculated by the WWC using data provided by Riordan and Noyce indicate that the difference is not statistically significant. In additional analyses, Riordan and Noyce compared performances on...

Topics: ERIC Archive, Standardized Tests, Mathematics Curriculum, Mathematics Achievement, Grade 8, Sample...

This module introduces the student to a formal study of probability. The lessons progress from elementary notions of least likely to more complex considerations of the probability of occurrence of one or more possible outcomes. Probability is introduced in an empirical sense through experimentation and investigation. In the later experiments, the students are shown how mathematical probability differs from empirical probability. The last three experiments of the module demand some fairly mature...

Topics: ERIC Archive, Activities, Learning Laboratories, Mathematics Curriculum, Mathematics Instruction,...

Mathematics should not be studied simply because it is useful; mathematics should be also studied because it nurtures both the mind and soul with its beauty. By completing the four activities described in this paper, students will appreciate mathematical ideas both rationally and emotionally. Since students' appreciation of mathematical ideas requires learning by self-discovery, they will be encouraged to see mathematical and real-world connections via mathematical demonstrations. They will...

Topics: ERIC Archive, Mathematics Instruction, Mathematics Curriculum, Graphs, Mathematical Formulas,...

GRADES OR AGES; Kindergarten. SUBJECT MATTER: Mathematics. ORGANIZATION AND PHYSICAL APPEARANCE: The guide has seven sections: 1) emphasis in mathematics; 2) three approaches--use of number in daily activities and content areas, manipulative materials and mathematically structured materials, and structuring special activities and/or problems; 3) number and operations, the natural numbers--counting and numeration; 4) elements of a set; 5) measurement and estimation--meaning of measurement; 6)...

Topics: ERIC Archive, Curriculum Guides, Early Childhood Education, Kindergarten, Mathematics Curriculum,...

This report on "Singapore Math®" updates the 2009 WWC review of the curriculum to include seven new studies. Despite the additional research, no studies meet WWC design standards and therefore, no conclusions can be made about the effectiveness of "Singapore Math®." [For the 2009 report, "Singapore Math," see ED505064.]

Topics: ERIC Archive, Foreign Countries, Mathematics Curriculum, Research, Design, Textbooks, Program...

This workbook introduces curriculum mapping, a process used by schools and districts to reform and improve curricula. The school's or district's elementary and middle level science curriculum can be mapped out by indicating what topics are taught at what grade levels. This workbook is part of the North Central Regional Educational Laboratory's (NCREL's) ongoing effort to develop accessible and user-friendly, data-driven decision making tools. The workbook allows for the analysis and comparison...

Topics: ERIC Archive, Curriculum Development, Elementary Education, Mathematics Curriculum, Mathematics...

The central question of this study was whether there was a difference in mathematics achievement between students taught in an ICL classroom and those taught in a traditional classroom. The author was also interested in the experience students had while using the software. Thus, students in the ICL curriculum were surveyed about their attitudes towards using the computer lab for instruction. Teachers were surveyed about their opinions regarding the use of the ICL program and which instructional...

Topics: ERIC Archive, Mathematics Achievement, Control Groups, Mathematics Instruction, Mathematics...

Brooks (1999) compared algebra achievement of students enrolled in the intervention group (I CAN Learn[R] classes) to that of students enrolled in the comparison group (traditional classes) at pretest, midyear, and posttest. Brooks found that students in the I CAN Learn[R] classes achieved higher scores in algebra than students in traditional classes at both midyear and posttest, and the difference was statistically significant. The results should be viewed with caution because the unit of...

Topics: ERIC Archive, Algebra, Intervention, Middle School Students, Mathematics Curriculum, Mathematics...

This annotated bibliography identifies French language resources endorsed for the K-12 grade levels by all Western Canadian Protocol (WCP) jurisdictions implementing the Common Curriculum Framework for K- 12 Mathematics. Resources were selected through a collaborative review process based on their high level of fidelity with the rationale, philosophy, mathematical processes, and outcomes of the Common Curriculum Framework. These resources underwent an intensive review and were found to be the...

Topics: ERIC Archive, Educational Resources, Elementary Secondary Education, Foreign Countries,...