Description: Mathematics Illuminated is a 13-part multimedia learning resource for adult learners and high school teachers in math and other disciplines. The series explores major themes in the field of mathematics, from mankind’s earliest study of prime numbers to the cutting edge mathematics used to reveal the shape of the universe. Rather than a series of problems to be solved, mathematics is presented as play we engage in to answer deep questions that are relevant in our world today. Mathematics also provides us with a powerful language for uncovering and describing phenomena in the world around us. Videos, interactive web exploration, text materials, and group activities reveal the secrets and hidden delights of the ever-evolving world of mathematics.
Description:Insights into Algebra 1: Teaching for Learningis an eight-part video, print, and web-based professional development workshop for middle and high school teachers. Participants explore strategies to improve the way they teach 16 topics found in most Algebra 1 programs. In each session, participants view videos that showcase effective strategies for teaching mathematical topics. Led by the workshop guide, participants engage in activities designed to help them examine their teaching practice, incorporate what they are learning into their practice, share their experiences with other teachers, and reflect on their ongoing development.
Description: Patterns, Functions, and Algebra explores the “big ideas” in algebraic thinking, such as finding, describing, and using patterns; using functions to make predictions; understanding linearity and proportional reasoning; understanding non-linear functions; and understanding and exploring algebraic structure. The concluding case studies show how to apply these concepts in your own classroom. The course includes problem-solving activities available in print and on the web.
Description: Learning Math: Number and Operations, a video- and web-based course for elementary and middle school teachers examines the three main categories in the Number and Operations strand— understanding numbers, representations, relationships, and number systems; the meanings of operations and relationships among those operations; and reasonable estimation and fluent computation. The course addresses the real number system, place value, the behavior of zero and infinity, meanings and models of basic operations, percentages, and modeling operations with fractions, often with the aid of concrete, physical models that enhance understanding. It examines Basic Number Theory topics, such as factors and multiples, as well as divisibility tests, at both practical and abstract levels. Accordingly, parts of the Number and Operations course may be more challenging than other Learning Math courses.
Description: Learning Math: Measurement explores procedures for measuring and standard units in the metric and customary systems, the relationships among units, and the approximate nature of measurement. Examine how measurement can illuminate mathematical concepts such as irrational numbers, properties of circles, and area and volume formulas, and discover how other mathematical concepts can inform measurement tasks such as indirect measurement. The 10th session explores ways to apply these concepts of measurement in K-8 classrooms.
Audience: A video- and web-based course for K-8 teachers; 12 half-hour video programs, course guide, and website.
Description: Learning Math: Geometry, a video- and web-based course for elementary and middle school teachers, introduces geometric reasoning as a method for problem-solving. In this course, which is organized around the content standards of the National Council of Teachers of Mathematics (NCTM), you will explore the properties of geometric figures; make constructions using pencil and paper, and also using dynamic software; and practice using mathematical language to express ideas and justify your reasoning. Some important geometric ideas, such as symmetry, similarity, and trigonometry, will also be examined. Begin to explore the basis of formal mathematical proofs and solid geometry. The course material progresses from more visual, intuitive ways of solving problems to more formal explorations of geometric ideas, properties, and proofs. The 10th session explores ways to apply these concepts of geometry in K-8 classrooms.
Description: Learning Math: Data Analysis, Statistics, and Probability introduces statistics as a problem-solving process. In this course, build skills through investigations of different ways to collect and represent data, and describe and analyze variation in data. Through practical examples, develop an understanding of some statistical concepts, such as data representation, variation, the mean and median, bivariate data, probability, designing statistical experiments, and population estimations. The concluding case studies, divided into grade bands for K-2, 3-5, and 6-8 teachers, show how to apply these concepts in the classroom. The course includes video programming, problem-solving activities available in print and on the Web, interactive activities and demonstrations on the web, and questions for class discussion or individual reflection.