## Mathematics Publications

- Resource Guide with Core Curriculum FINAL Albany, NY: The State Education Department, 1999, 195 pgs. (core curriculum, supplementary material, K-12) Price: $5.00. The core curriculum included in this guide is an outline which provides an additional level of specificity to standard 3 in the Learning Standards for Mathematics, Science, and Technology. The core curriculum was designed to provide guidance to districts and schools in the development of curriculum, instruction, and assessment which will assist them in meeting mathematics standards.
- Core Curriculum Companion ( 665KB)
- Key Idea Tasks to Enhance Success (KITES) (2003)
- Introduction( 320KB)
- Key Idea 1 - Mathematical Reasoning ( 270KB)
- Key Idea 2 - Number and Numeration ( 244KB)
- Key Idea 3 - Operations ( 189KB)
- Key Idea 4 - Modeling/Multiple Representation ( 203KB)
- Key Idea 5 - Measurement ( 359KB)
- Key Idea 6 - Uncertainty ( 379KB)
- Key Idea 7 - Patterns/Functions ( 244KB)

New Assessment Project 1997: Mathematics, Science, and Technology: Testing Manual. Albany, NY: The State Education Department, 1997, 130 pgs. (supplementary material, K-12) Price: $3.00

This publication contains the first two design models (sliding Down and Keeping It Cool) developed by New York State for pilot testing statewide. Within the document are Teacher Booklets describing the task, outlining materials needed, and detailing suggested strategies, and Students Booklets detailing specific activities for students to follow.

New Assessment Project 1997: Mathematics, Science, and Technology: Scoring Manual. Albany, NY: The State Education Department, 1997, 212 pgs. (supplementary material, K-12) Price: $3.00

This publication supplements the Testing Manual. It provides information on the design, implementation, and study of the MST assessment process. It includes scoring rubrics and sample student responses. Benchmark papers from students and teacher commentary are included.

**Publications issued before adoption of
NYS Learning Standards in
**

**July 1996**

**Elementary Level**

Mathematics K-6: A Recommended Program for Elementary Schools. Albany, NY: The State Education Department, 1985 (Reprinted 1988), ED 067 238, 65 pgs. (syllabus, grades K-6) Price: $3.50

The State syllabus for a program of study in mathematics for grades K-6. It begins with a short discussion of considerations for sequence and integration among the five proposed curriculum strands: numbers and numeration, whole numbers, fractions, probability and statistics, geometry and measurement. The strands are described fully for each grade level. Mathematics PEP tests for grades 3 and 6 are based on this syllabus.

Developing Mathematical Awareness in Prekindergarten Children. Albany, NY: The State Education Department, 1966, 28 pgs. (supplementary material, Prekindergarten) Price: $1.25

A pamphlet of suggested activities prepared as an aid in developing meaningful mathematical experiences for 3- and 4-year-olds. It is based on the premise that pre-Kindergarten children need numerous experiences with a variety of materials. Topics covered include counting time, matching and comparing, measurement, fractions, opportunities for mathematical activities, developing mathematical awareness, and other related areas.

Improving Reading-Study Skills in Mathematics K-6. Albany, NY: The State Education Department, 1972, ED 067 257, 33 pgs. (supplementary material, grades K-6) Price: $1.25

A pamphlet of ideas for elementary school teachers that emphasizes an integrated approach to the theme of reading for math. It contains sections on learning, reading and thinking in math; the role of the teacher; and curriculum development; and it concludes with a summary. The first section presents a brief discussion of math symbols, concepts, and oral and written language. The second section lists developmental stages and describes corresponding activities for decoding and comprehension subskills involved in mathematics.

Operations with Fractions. Albany, NY: The State Education Department, 1965 (Reprinted 1984), 44 pgs. (supplementary material, grades 1-6) Price: $1.50

An informational pamphlet to help elementary teachers teach fractions. It explains many types of operations that can be done with fractions and gives examples.

Probability in the Elementary Schools: A Guide for Teachers. Albany, NY: The State Education Department, 1977 (Reprinted 1980), ED 156 455, 36 pgs. (supplementary material, grades 1-6) Price: $2.50

A compact presentation of probability concepts and how they can be taught. Instruction is formatted around the five concept areas of basic understanding, probability of simple events, probability of compound events, counting, and sampling. An introduction, activities, classroom games, and projects accompany each concept area.

Suggestions for Teaching Mathematics Using Laboratory Approaches. Albany, NY: The State Education Department, 1975, ED 113 190, 113 191, 113 192, 113 193,

- Number and Numeration, 20 pgs., $1.25.
- Operations, 24 pgs., $1 25.
- Geometry, 20 pgs., $1.25.
- Number and Numeration, Operations, Geometry, Measurement, 44 pgs., $1.25.
- Probability, 24 pgs., $1.25.
- Metrics, 17 pgs., $1.25. (supplementary material, grades 1-6)

A series of booklets, each addressing a different content area of basic mathematics and intended for use in a laboratory setting. Each booklet contains a wealth of activities (in a purpose-grade level-materials-procedure format) on aspects of each broad content area.

**Intermediate Level**

Mathematics Grade 7: Syllabus. Albany, NY: The State Education Department, 1986, ED 279 514, 100 pgs. (syllabus, grade 7) Price: $3.00

The State syllabus for a course of study in mathematics for grade 7 that focuses on the improvement of problem solving for various areas of mathematics. It includes goals and objectives, a content outline, time allotment for each major unit as a general guide for planning, and provisions for students with handicapping conditions and disabilities.

Mathematics Grade 8: Syllabus. Albany, NY: The State Education Department, 1987 (Reprinted 1988), ED 295 789, 176 pgs. (syllabus, grade 8) Price: $3.00

The State syllabus for a course of study in mathematics for grade 8 that emphasizes problem solving; number concepts; ratio, proportion, and percent; probability and statistics; algebra and coordinate geometry; computer awareness; and geometry and measurement. It includes a content outline, suggested time allotments, and specific suggestions for teachers.

**Commencement Level**

Three-Year Sequence for High School Mathematics. Albany, NY: The State Education Department. (syllabus, grades 9-11)

The State syllabi for a three-year sequential course of study in Regents high school mathematics. Each syllabus includes an introduction, goals and objectives, an outline of course content, and teaching suggestions. Together, the three courses prepare students for Regents examinations and constitute a Regents sequence in mathematics. They integrate the various branches of mathematics and spiral and sequence topics to allow students to build on what they have previously learned. A Regents examination is administered for each of these courses.

Course I. 1988 Revision, ED 134 473, 31 pgs. (syllabus, grade 9). Publication no longer available.

The State syllabus for the first year of the three-year sequential course of study in high school mathematics.

Course II. 1988 Revision, ED 167 382, 44 pgs. (syllabus, grade 10). Publication no longer available.

The State syllabus for the second year of the three-year sequential course of study in high school mathematics.

Course III. ED 191 737, SLC# D, CUR, 500-4, THRYS, 79-70625, 40 pgs. (syllabus, grade 11). Publication no longer available.

The State syllabus for the third year of the three-year sequential course of study in high school mathematics.

General High School Mathematics. Albany, NY: The State Education Department, 1978, ED 161 767, 73 pgs. (supplementary material, grades 9-12). Publication no longer available.

An outline for a prealgebra course with suggested time frames for each unit. The plan is divided into basic units of study (integers; rational numbers; graphing; measurement of geometric figures; ratio, proportion, and percent; probability and statistics; and consumer math), and each is subdivided into areas concerned with that unit. These subtopics consist of a brief explanation followed by examples. The Regents Competency Test in mathematics is based on these units. There are also supplementary units that are related to the basic units.

**General Publications
**Creative Problem Solving. Albany, NY: The State Education Department, 1978 (Reprinted 1989), ED 171 527, 44 pgs. (supplementary material, grades 1-8) Price: $2.50

A collection of teaching techniques designed to enhance problem solving in grades 1-8. Topics include background information on problem solving, how to create problems, organizing facts to recognize patterns, and problem sets related to a number of areas. The manual may be used by individual teachers or as a basis for an in-service workshop.

Ideas for Strengthening Mathematics Skills. Albany, NY: The State Education Department, 1978 (Reprinted 1989), ED 161 730, 40 pgs. (supplementary material, grades K-12) Price: $2.00

A concise resource book offering objectives, activities, and materials for common math skills areas such as "regrouping" in subtraction, money, fractions, "carrying" in addition and multiplication, grid paper computation, structural multiplication, calculators, and environmental topics. It also includes a brief discussion of a balanced mathematics program and remediation.

Let’s Use the Metric System: A Supplement to Mathematics K-6. Albany, NY: The State Education Department, 1973, ED 086 551, 15 pgs. (supplementary material, grades K-6) Price: $.50

Provides elementary school teachers with some information about the metric system and some suggestions for teaching it. It includes a history of the development of the metric system which is followed by a grade-by-grade guide to objectives to be used with lessons on measurements with the metric system. The activities stress the decimal character of the metric system and provide opportunities for students to gain an intuitive feeling for the comparative size of the various units of measure.

MARA: Mathematics/Architecture Related Activities. Albany, NY: The State Education Department, 1982, ED 223 448, 42 pgs. (supplementary material, grades K-8) Price: $1.75

A handbook of activities for grades K-8 that are intended to build bridges between art and mathematics via social interaction. Activities are arranged in models, each of which contains art and math learnings to be developed, an architectural approach to use (orientation, analysis, design, cooperative designing, construction, evaluation), and a description of a successful related project. Glossary and resource sections conclude the publication.

**Bilingual Education
**Bilingual Dictionary of Mathematical Terms (English-Lao). Albany, NY: The State Education Department, 1988, 42 pgs. (supplementary material) Price: $2.00

This publication was developed for use by Lao junior high and high school students, to assist them in their understanding of mathematics vocabulary and concepts in English. Terminology and definitions are provided in English, with Lao translations directly below each entry.

Bilingual Dictionary of Mathematical Terms (English-Chinese). Albany, NY: The State Education Department, 1988, 42 pgs. (supplementary material) Price: $2.00

This publication was developed for use by Chinese junior high and high school students, to assist them in their understanding of mathematics vocabulary and concepts in English. Terminology and definitions are provided in English, with Chinese translations directly below each entry.

Bilingual Dictionary of Mathematical Terms: Tu-dien Song Ngu Danh-tu-Toan (English-Vietnamese). Albany, NY: The State Education Department, 1984, 43 pgs. (supplementary material) Price: $2.00

This publication was developed for use by Vietnamese junior high and high school students, to assist them in their understanding of mathematics vocabulary and concepts in English. Terminology and definitions are provided in English, with Vietnamese translations directly below each entry.

Bilingual Dictionary of Mathematical Terms: Glosario Bilingue De Terminos Matematicos (English-Spanish). Albany, NY: The State Education Department, 1984, ED 305 350, 43 pgs. (supplementary material) Price: $2.00

This publication was developed for use by Spanish junior high and high school students, to assist them in their understanding of mathematics vocabulary and concepts in English. Terminology and definitions are provided in English, with Spanish translations directly below each entry.