Geometric Exercises in Paper Folding

Sundara T. Row 

Chicago, The Open Court pub. co | 1917

online: archive.org

online: chestofbooks.com (html)

PDF

arvindguptatoys.com (link direto)

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

eric.ed.gov (link direto)


4shared.com

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

eric.ed.gov (link direto)

4shared.com

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

eric.ed.gov (link direto)

4shared.com

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

Knowing and Learning Mathematics for Teaching: Proceedings of a Workshop

Mathematics Teacher Preparation Content Workshop Program Steering Committee, 
Center for Education , National Research Council 

National Academies Press | 2001| 236 páginas 

online: nap.edu

There are many questions about the mathematical preparation teachers need. Recent recommendations from a variety of sources state that reforming teacher preparation in postsecondary institutions is central in providing quality mathematics education to all students. The Mathematics Teacher Preparation Content Workshop examined this problem by considering two central questions: what is the mathematical knowledge teachers need to know in order to teach well?, and how teachers can develop the mathematical knowledge they need to teach well? The Workshop activities focused on using actual acts of teaching such as examining student work, designing tasks, or posing questions, as a medium for teacher learning. The Workshop proceedings, "Knowing and Learning Mathematics for Teaching", is a collection of the papers presented, the activities, and plenary sessions that took place.

Fair Voting - Weighted Votes for Unequal Constituencies

William F. Lucas


 COMAP, Inc. |  1992  |  81 páginas | PDF


online: prof2000.pt

Students are challenged to use the mathematics of weighted voting to wrestle with important social issues such as how power can be measured quantitatively, and how power is divided in our government. HiMAP Module 19. 


Table of Contents:

CHAPTER 1: VOTING IN DEMOCRATIC INSTITUTIONS

CHAPTER 2: SOME APPROACHES TO FAIR REPRESENTATION 

CHAPTER 3: PROPORTIONAL WEIGHTED VOTING: A FIRST ATTEMPT TO REALIZE FAIR REPRESENTATION

CHAPTER 4: MEASURING POWER

CHAPTER 5: ADJUSTED WEIGHTED VOTING: A BETTER IDEA

CHAPTER 6: HISTORICAL ASPECTS

CHAPTER 7: ADDITIONAL TOPICS ON WEIGHTED VOTING

REFERENCES

TRANSPARENCIES

The Mathematical Theory of Elections

Joseph Malkevitch


COMAP, Inc. | 1999 |  68 páginas | PDF


online: prof2000.pt
semmathmodeling.wikispaces.com


This module illustrates how mathematics can design and analyze election and ranking methods. Preference schedules, fairness criteria, and weighted voting all demonstrate that how votes are counted can affect the outcome of an election. HiMAP Module 1.

Table of Contents:

SECTION 1: SOME ELECTIONS RESULTS

SECTION 2: TYPES OF BALLOTS

SECTION 3: ELECTION METHODS

SECTION 4: ARROW'S THEOREM

SECTION 5: PROPORTIONAL REPRESENTATION

SECTION 6: RECENT DEVELOPMENTS

REFERENCES

GLOSSARY