PROGRAM HIGHLIGHTS
No matter how you slice it, fractions are foundational. This seminar engages participants in instructional strategies that promote deep student understanding of fraction concepts and operations addressed by the Common Core State Standards (CCSS) — both in terms of Mathematical Content and Mathematical Practices. A comprehensive collection of student error patterns is examined, and participants explore why students may make those errors. Participants learn how to use error patterns to inform instruction, pinpoint intervention, and stimulate student thinking. The seminar addresses the use of estimation, alternative algorithms, instructional games, hands-on activities, and guided discovery lessons. The strategies support instruction of both regular and special-needs students.
TOPICS
- An Overview of the Academic Research: Academic research on error analysis, equity, helping English learners access language, using multiple representations, teaching estimation strategies prior to formal instruction on algorithms, using alternative algorithms, differentiating instruction, engaging in instructional games, and using technology will be examined.
- Big Ideas in Fraction Concepts and Computation: The big ideas about fractions will be explored — what a fraction is, how fractions can be represented, how benchmark fractions facilitate estimation, how fractions can be renamed, how fractions can be compared, and how operations can be performed.
- Multiple Representations: Models for part-whole (circle and length), parts of a collection (sets), location on a number line, and symbolic will all be applied. An emphasis will be placed on student work with number lines as prescribed by the CCSS.
- Big Ideas in Problem Solving: Key actions and problem structures will be examined for each of the operations to provide insight as to why a particular operation or operation is appropriate to use to solve a given problem. Participants will write and share their own word problems for given actions and problem structures.
- A Model of Diagnosis, Item Analysis, and Intervention: Diagnostic tests for fraction concepts and operations will be examined. The importance of using item analysis to pinpoint student weaknesses as a way to form a basis for meaningful step-by-step interventions will be explored. Many of the interventions are based on an instructional model of starting with a tactile, hands-on representation, moving to the use of drawings, and finally moving to a symbolic algorithm (Concrete ---> Semi-concrete ---> Abstract).
- Guided Discovery Lessons: Engage in lessons promoting the discovery of computational algorithms. They include Making Sum Difference Using Strips (addition / subtraction), It’s in the Fold (paper-folding for multiplication), and How Many Strips Will Fit? (using a ruler for division). Learn how to help students make the transition from the models to paper-pencil algorithms.
- Instructional Games and Activities: Engage in exciting activities and games such as Equivalent Fractions Cover-All, Fractions on My Plate, Balance the Number Sentence, Editor Error Search, and Rolling a-Plot of Fractions (a game that integrates fractions and statistics).
- Questions for Teacher Reflection: Some of the best ideas participants will come away with is through the discussions that occur in the seminar. Special thought-provoking questions will be posed to engage participants in meaningful discourse.
This course provides instructional strategies designed to address the needs of both regular and special-education students. All teachers, including those teaching developmental curricula or math education teachers, would benefit from this workshop. |
Cost for one workshop: $195.
Two or more registrations received at the same time: Only $180 each.
THIS WORKSHOP INCLUDES:
- Each participant will receive a comprehensive course book of activities that has been designed specifically for this seminar
- Continental breakfast — rolls, coffee, and fruit (lunch on your own)
- A copy of David Spangler’s book, Strategies for Teaching Fractions: Using Error Analysis for Assessment and Intervention(a $38.95 value!)
- A certificate of participation suitable for framing
There will be an opportunity to examine and purchase supplemental math materials.
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One graduate level professional development credit, for an additional fee paid at the seminar, is available through
Brandman University Extended Education -- EDDU 9046.
(Participation in one online session and a paper are required for college credit.)
6 Illinois CPDUs are available for this seminar. |