## Eric.ed.gov – Axioms of Excellence: Kumon and the Russian School of Mathematics. White Paper No. 188

eric.ed.gov har udgivet: This paper looks at the popularity of after-school mathematics by focusing on the Kumon and Russian School of Mathematics models. In 1954, Toru Kumon, a high school math teacher in Japan, designed a series of math worksheets to help improve the test scores of his son Takeshi, a second grader. Toru’s goal was to teach Takeshi how to learn independently through the worksheets and improve his calculation skills prior to reaching high school. By working every day on the problems, Takeshi was able to reach the level of differential and integral calculus when he was just a few months into the sixth grade. The Kumon model is based on four elements: (1) Individualized instruction; (2) Self-learning; (3) Small-step worksheets; and (4) Kumon instructors. Parents who want to… Continue Reading

## Eric.ed.gov – Probability & Statistics: Modular Learning Exercises. Teacher Edition

eric.ed.gov har udgivet: The purpose of these modules is to provide an introduction to the world of probability and statistics to accelerated mathematics students at the high school level. The modules also introduce students to real world math concepts and problems that property and casualty actuaries come across in their work. They are designed to be used by teachers and students of AP courses (primarily AB and BC Calculus) after the AP exam, but of course they can be used at any time. Statistical thinking is critical in today’s society. Data are everywhere and students will see and recognize misinterpretations all the time. “Probability & Statistics: Modular Learning Exercises” cover: (1) Basic Statistics Concepts; (2) The Normal Model; (3) Discrete Probability Distributions; and (4) Correlation and Regression. Link til kilde

## Eric.ed.gov – The Shift from “Learner/Doer of Mathematics” to “Teacher of Mathematics”: A Heuristic for Teacher Candidates

eric.ed.gov har udgivet: Successful teacher preparation programs provide learning experiences that help teacher candidates make the shift from “student” to “teacher.” In this paper we present research on the implementation of a process for providing candidates such experiences. Utilizing the Mathematics as Teacher Heuristic (MATH) process, prospective high school mathematics teachers explore rich problems by solving the task, analyzing samples of student work, designing a solution key, and modifying the task. We use their engagement in these explorations and reflections on the process to analyse the development of candidates’ Content Knowledge and Pedagogical Content Knowledge. Link til kilde

## Eric.ed.gov – Math Academy: Can You See It in Nature? Explorations in Patterns & Functions. Book 2: Supplemental Math Materials for Grades 3-8

eric.ed.gov har udgivet: Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to students. This booklet contains the “Math Academy–Can You See It in Nature? Explorations in Patterns & Functions,” which a teacher can use to enhance his/her math instruction while staying true to the academic rigor required by the state standards framework. It contains all the activities used for the patterns and functions Math Academy. This Math Academy is designed to help students understand the connection between geometric and numerical patterns (younger students) as well as between patterns and functions (older students). One may choose to implement a grade-level or school-wide Math Academy as the author originally… Continue Reading

## Eric.ed.gov – Math Academy: Dining Out! Explorations in Fractions, Decimals, & Percents. Book 4: Supplemental Math Materials for Grades 3-8

eric.ed.gov har udgivet: Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the “Math Academy–Dining Out! Explorations in Fractions, Decimals, and Percents,” which teachers can use to enhance their math instruction while staying true to the academic rigor required by the state standards framework. Included in this booklet are activities the author used for the restaurant Math Academy. This Math Academy is designed to help students understand how to use fractions, decimals, and percents in the context of restaurants and money. In this day of credit and gift cards, children do not have as many real-life opportunities to count money and make… Continue Reading

## Eric.ed.gov – Setting the Stage with Geometry: Lessons & Worksheets to Build Skills in Measuring Perimeter, Area, Surface Area, and Volume. Poster/Teaching Guide. Expect the Unexpected with Math[R]

eric.ed.gov har udgivet: “Setting the Stage with Geometry” is a new math program aligned with the National Council of Teachers of Mathematics (NCTM) standards that is designed to help students in grades 6-8 build and reinforce basic geometry skills for measuring 2D and 3D shapes. Developed by The Actuarial Foundation, this program seeks to provide skill-building math activities to help students become successful in the classroom and in real-world situations outside of school. Link til kilde

## Eric.ed.gov – Math Academy: Play Ball! Explorations in Data Analysis & Statistics. Book 3: Supplemental Math Materials for Grades 3-8

eric.ed.gov har udgivet: Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the “Math Academy–Play Ball! Explorations in Data Analysis & Statistics,” which teachers can use to enhance their math instruction while staying true to the academic rigor required by the state standards framework. Included in this booklet are activities the author used for the sports Math Academy. This Math Academy is designed to help students understand the connection between sports, data collection, and statistical analysis. As the students play each “game,” they will collect, organize, display, and analyze the data from the game results. Teachers may choose to implement a grade-level… Continue Reading

## Eric.ed.gov – Math Academy: Let’s Go to the Mall! Explorations in Combinatorics. Book 5: Supplemental Math Materials for Grades 3-8

eric.ed.gov har udgivet: Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the “Math Academy–Let’s Go to the Mall! Explorations in Combinatorics,” which teachers can use to enhance their math instruction while staying true to the academic rigor required by the state standards framework. Included in this booklet are activities the author used for the combinations and permutations Math Academy. This Math Academy is designed to help students understand the connection between various kinds of combinations (multiplication principle and choose numbers) and permutations. Teachers may choose to implement a grade-level or school-wide Math Academy, or they may prefer to implement these activities… Continue Reading

## Eric.ed.gov – Math Academy: Are You Game? Explorations in Probability. Supplemental Math Materials for Grades 3-6

eric.ed.gov har udgivet: Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the themed program “Are You Game? Math Academy–Explorations in Probability,” which teachers can use to enhance their math instruction while staying true to the academic rigor required by the state standards framework. Included in this booklet are activities the author used for The Game Company Math Academy. This Math Academy is designed to help students understand probability through playing games. Teachers may choose to implement a grade-level or school-wide Math Academy, or they may prefer to implement these activities in their own classroom. Whichever format they use, teachers should keep… Continue Reading

## Eric.ed.gov – Solving the Unknown with Algebra: Poster/Teaching Guide for Pre-Algebra Students. Expect the Unexpected with Math[R]

eric.ed.gov har udgivet: “Solving the Unknown with Algebra” is a new math program aligned with the National Council of Teachers of Mathematics (NCTM) standards and designed to help students practice pre-algebra skills including using formulas, solving for unknowns, and manipulating equations. Developed by The Actuarial Foundation with Scholastic, this program provides skill-building activities that use mathematics for real purposes, while motivating students to achieve success in the classroom and in real-world situations outside of school. [A poster that accompanies this teaching guide can be viewed and/or retrieved at: http://www.actuarialfoundation.org/pdf/Solving_Poster.pdf.] Link til kilde