Curves and Their Properties

(NCTM Classics in Mathematics Education A Series, Volume 4)

Robert C. Yates

National Council of Teachers of Mathematics | 1974 (reimpressão de 1952) | djvu | 2,6 Mb

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This volume, a reprinting of a classic first published in 1952, presents detailed discussions of 26 curves or families of curves, and 17 analytic systems of curves. For each curve the author provides a historical note, a sketch or sketches, a description of the curve, a discussion of pertinent facts, and a bibliography. Depending upon the curve, the discussion may cover defining equations, relationships with other curves (identities, derivatives, integrals), series representations, metrical properties, properties of tangents and normals, applications of the curve in physical or statistical sciences, and other relevant information. The curves described range from the familiar conic sections and trigonometric functions through the less well known Deltoid, Kieroid and Witch of Agnesi. Curve related systems described include envelopes, evolutes and pedal curves. A section on curve sketching in the coordinate plane is included.

A Handbook on Curves and their Properties (1947)

online: archive.org

Mathematics Counts: Report of the Committee of Inquiry into the Teaching of Mathematics in Schools

Dept.of Education & Science 

1982 |  328 páginas

online: educationengland.org.uk

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Math in Society

David Lippman

DL, LuLu | 2011 | 215 páginas | PDF | 5 Mb

online :  dlippman.imathas.com

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A survey of math for liberal arts majors. This book is a survey of contemporary mathematical topics: voting theory, weighted voting, fair division, graph theory, scheduling, growth models, finance math, statistics, and historical counting systems. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for in-class, group, or individual investigation.

The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. 
Emphasis is placed on the applicability of the mathematics. 

Contents
Voting Theory
Weighted Voting
Fair Division
Graph Theory
Scheduling 
Growth Models
Finance 
Statistics
Describing Data by David Lippman, Jeff Eldridge
Historical Counting Systems by Lawrence Morales
Solutions to Selected Exercises

Geometric Exercises in Paper Folding

Sundara T. Row 

Chicago, The Open Court pub. co | 1917

online: archive.org

online: chestofbooks.com (html)

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The idea of this book was suggested to me by Kindergarten Gift No. VIII. - Paper-folding. The gift consists of two hundred variously colored squares of paper, a folder, and diagrams and instructions for folding. The paper is colored and glazed on one side. The paper may, however, be of self-color, alike on both sides. In fact, any paper of moderate thickness will answer the purpose, but colored paper shows the creases better, and is more attractive. The kindergarten gift is sold by any dealers in school supplies ; but colored paper of both sorts can be had from stationery dealers. Any sheet of paper can be cut into a square as explained in the opening articles of this book, but it is neat and convenient to have the squares ready cut.

Sorting: Groups and Graphs. Used Numbers. Grades 2-3

Rebecca B. Corwin e Susan Jo Russell

Dale Seymour Publications | 1990 | 132 páginas | PDF | 3,2 Mb

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A unit of study that introduces sorting and classification as a way of organizing data is presented. Suitable for students in grades 2 and 3, it provides a foundation for further work in statistics and data analysis. The investigations may extend from one to five class sessions and are grouped into three parts: "Introduction to Sorting"; "Sorting and Classifying Data"; and "Projects in Data Analysis." An overview of the investigation, session activities, dialogue boxes, and teacher notes are included in each investigation. The major goals developed in each part of this guide are: (1) examining differences and similarities of objects or data; (2) decision making; (3) using negative information to clarify the definition of a category; (4) making sketches of data; (5) thinking flexibly about the characteristics of data; (6) articulating logical reasoning; (7) constructing categories to describe data; (8) inventing representations of data; (9) building theories about data; (10) collecting and recording survey data; (11) comparing two data sets; and (12) experiencing the phases of a data analysis investigation. Appended are reproducible student materials, including two sets of cards for developing sorting skills.

Measuring: From Paces to Feet. Used Numbers: Real Data in the Classroom. Grades 3-4

Rebecca B. Corwin;  Susan Jo Russell

Addison-Wesley | 1990 | PDF | 2,6 Mb

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A unit of study that introduces measuring as a way of collecting data is presented. Suitable for students in grades 3 and 4, it provides a foundation for further work in statistics and data analysis. The investigations may extend from one to four class sessions and are grouped into three parts: "Introduction to Measurement"; "Using Standard Measures"; and "A Project in Data Analysis." An overview of the investigation, session activities, dialogue boxes, and teacher notes are included in each investigation. The major goals developed in each part of this guide are: (1) moving through space and counting the movements; (2) comparing units of measure; (3) estimating distances; (4) defining a measurement method; (5) writing directions involving distances; (6) recording and displaying the results of measurement; (7) experiencing a need to standardize; (8) understanding that standard measures were invented to solve real data collection problems; (9) estimating lengths; (10) measuring accurately, using feet and inches; (11) describing the shape of the data; (12) analyzing data through landmarks and features of the data; (13) using standard measures to compare data sets; and (14) experiencing all the phases of a data analysis investigation in which measuring is used to collect data. Seven student sheets are attached.

Statistics: The Shape of the Data. Used Numbers: Real Data in the Classroom. Grades 4-6.

Susan Jo Russell e Rebecca B. Corwin

Pearson Learning | 1989| 88 páginas | PDF | 2,4 Mb

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A unit of study that introduces collecting, representing, describing, and interpreting data is presented. Suitable for students in grades 4 through 6, it provides a foundation for further work in statistics and data analysis. The investigations may extend from one to four class sessions and are grouped into three parts: "Introduction to Data Analysis"; "Learning About Landmarks in the Data"; and "A Project in Data Analysis." An overview of the investigation, session activities, dialogue boxes, and teacher notes are included in each investigation. The major goals developed in each part of this guide are: (1) describing the shape of the data; (2) defining the way data will be collected; (3) summarizing what is typical of the data; (4) making quick sketches of the data; (5) inventing ways to compare two sets of data; (6) representing data first through sketches, then through a presentation graph or chart; (7) using the median as a landmark in the data; (8) understanding that the median is only one landmark in the data; and (9) experiencing all the stages of a data analysis investigation. Attached are 10 student sheets