logging in or signing up algebra aSGuest697 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 349 Category: Science & Tech.. License: All Rights Reserved Like it (0) Dislike it (0) Added: October 10, 2008 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... By: amoorman (38 month(s) ago) Can I get a copy of this for fellow teachers at my school? amoorman@k12tn.net Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript A S K : A S K Algebraic Thinking Teaching Strategies To Help Reach All Learners SPECIAL THANKS : SPECIAL THANKS Algebra Success Keys (ASK) is an initiative developed by Project Central at the University of Central Florida. http:reach.ucf.edu/~CENTRAL projcentral@mail.ucf.edu A S K Warm-up : A S K Warm-up With the people sitting at your table, use the manipulatives provided to find a solution to the problem below: Some cows and geese live on a farm. You know the total number of legs is 48 and the total number of heads is 17. How many cows live on the farm? A S K Warm-up : A S K Warm-up Once you find a solution with the counting chips, diagram your solution on the chart paper. Some cows and geese live on a farm. You know the total number of legs is 48 and the total number of heads is 17. How many cows live on the farm? A S K Warm-up : A S K Warm-up Now write an algebraic equation to solve this problem. Some cows and geese live on a farm. You know the total number of legs is 48 and the total number of heads is 17. How many cows live on the farm? A S K Warm-up : A S K Warm-up Share your problem solving process and solution with another table. Discuss with your group some insights you gleaned on the teaching of algebraic concepts to students. A S K Warm-up : A S K Warm-up 4c + 2g = 48 c + g = 17 4c + 2(17 – c) = 48 g = 17 – c Some cows and geese live on a farm. You know the total number of legs is 48 and the total number of heads is 17. How many cows live on the farm? ALGEBRAIC THINKING INVOLVES THE CONNECTION BETWEEN LEARNING LEVELS : ALGEBRAIC THINKING INVOLVES THE CONNECTION BETWEEN LEARNING LEVELS CONCRETE REPRESENTATIONAL ABSTRACT CONCRETE : CONCRETE A teaching method that uses actual objects in the teaching of mathematical concepts REPRESENTATIONAL : REPRESENTATIONAL A teaching method that uses pictures, tally marks, diagrams, and drawings in teaching mathematical concepts. These pictorial representations relate directly to manipulatives and provide scaffolding that enables students to solve numeric problems at the abstract level. Abstract : A teaching method that uses written words (including braille), symbols (such as variables or numerals), or verbal expressions (including sign language) in teaching mathematical concepts. Abstract FACTS ABOUT ALGEBRAIC THINKING : FACTS ABOUT ALGEBRAIC THINKING It is one of the few central themes that serve to organize, unify, and give coherence to mathematics at all levels It is one of the most important areas of emphasis in the Principles and Standards for School Mathematics (National Council for Teachers of Mathematics, 2000); and It is one of the mathematics topics that has been researched abundantly, including evidence of students’ misconceptions in this area. Purpose of Algebra Success Keys : Purpose of Algebra Success Keys ASK provides a guide that is a compilation of research-based practices developed to help teach algebra to students with diverse learning needs. It is a foundation to algebraic thinking which begins in grades K-5 and continues through the middle school grades to high school algebra. A S K continued : A S K continued ASK provides research-based strategies in instruction, assessments, accommodations, and technology to help students learn algebraic thinking. The Algebra Success Keys (ASK) should be used with Action Research to understand and reflect on what students are learning as well as how and what the students are learning. ASK is a Resource : ASK is a Resource ASK should be used to help teachers teach algebraic thinking using three levels of learning (Concrete – Representational – Abstract) and to meet the needs of individual students. Concrete Abstract Representational ALIGNMENT OF A S K with SSS AND NCTM STANDARDS : ALIGNMENT OF A S K with SSS AND NCTM STANDARDS A S K is based on … [NCTM] Standards, Florida Sunshine State Standards, and research related to the teaching of algebraic thinking (Miller & Mercer, 1993; Witzel, Mercer, & Miller, 2003). Alignment of A S K with SSS and NCTM Standards : Alignment of A S K with SSS and NCTM Standards Understand patterns, relations, and functions Represent and analyze mathematical situations and structures using algebraic symbols Use mathematic models to represent and understand quantitative relationships Analyze change in various contexts (NCTM, 2001) AN INTERCONNECTED APPROACH : AN INTERCONNECTED APPROACH How Can You Participate in A S K ? : How Can You Participate in A S K ? Contact: Kay Younginger University of Central Florida 1673 Mason Avenue, Suite 207 Daytona Beach, 32117 projcentral@mail.ucf.edu 386-274-0175 You do not have the permission to view this presentation. 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algebra aSGuest697 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 349 Category: Science & Tech.. License: All Rights Reserved Like it (0) Dislike it (0) Added: October 10, 2008 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... By: amoorman (38 month(s) ago) Can I get a copy of this for fellow teachers at my school? amoorman@k12tn.net Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript A S K : A S K Algebraic Thinking Teaching Strategies To Help Reach All Learners SPECIAL THANKS : SPECIAL THANKS Algebra Success Keys (ASK) is an initiative developed by Project Central at the University of Central Florida. http:reach.ucf.edu/~CENTRAL projcentral@mail.ucf.edu A S K Warm-up : A S K Warm-up With the people sitting at your table, use the manipulatives provided to find a solution to the problem below: Some cows and geese live on a farm. You know the total number of legs is 48 and the total number of heads is 17. How many cows live on the farm? A S K Warm-up : A S K Warm-up Once you find a solution with the counting chips, diagram your solution on the chart paper. Some cows and geese live on a farm. You know the total number of legs is 48 and the total number of heads is 17. How many cows live on the farm? A S K Warm-up : A S K Warm-up Now write an algebraic equation to solve this problem. Some cows and geese live on a farm. You know the total number of legs is 48 and the total number of heads is 17. How many cows live on the farm? A S K Warm-up : A S K Warm-up Share your problem solving process and solution with another table. Discuss with your group some insights you gleaned on the teaching of algebraic concepts to students. A S K Warm-up : A S K Warm-up 4c + 2g = 48 c + g = 17 4c + 2(17 – c) = 48 g = 17 – c Some cows and geese live on a farm. You know the total number of legs is 48 and the total number of heads is 17. How many cows live on the farm? ALGEBRAIC THINKING INVOLVES THE CONNECTION BETWEEN LEARNING LEVELS : ALGEBRAIC THINKING INVOLVES THE CONNECTION BETWEEN LEARNING LEVELS CONCRETE REPRESENTATIONAL ABSTRACT CONCRETE : CONCRETE A teaching method that uses actual objects in the teaching of mathematical concepts REPRESENTATIONAL : REPRESENTATIONAL A teaching method that uses pictures, tally marks, diagrams, and drawings in teaching mathematical concepts. These pictorial representations relate directly to manipulatives and provide scaffolding that enables students to solve numeric problems at the abstract level. Abstract : A teaching method that uses written words (including braille), symbols (such as variables or numerals), or verbal expressions (including sign language) in teaching mathematical concepts. Abstract FACTS ABOUT ALGEBRAIC THINKING : FACTS ABOUT ALGEBRAIC THINKING It is one of the few central themes that serve to organize, unify, and give coherence to mathematics at all levels It is one of the most important areas of emphasis in the Principles and Standards for School Mathematics (National Council for Teachers of Mathematics, 2000); and It is one of the mathematics topics that has been researched abundantly, including evidence of students’ misconceptions in this area. Purpose of Algebra Success Keys : Purpose of Algebra Success Keys ASK provides a guide that is a compilation of research-based practices developed to help teach algebra to students with diverse learning needs. It is a foundation to algebraic thinking which begins in grades K-5 and continues through the middle school grades to high school algebra. A S K continued : A S K continued ASK provides research-based strategies in instruction, assessments, accommodations, and technology to help students learn algebraic thinking. The Algebra Success Keys (ASK) should be used with Action Research to understand and reflect on what students are learning as well as how and what the students are learning. ASK is a Resource : ASK is a Resource ASK should be used to help teachers teach algebraic thinking using three levels of learning (Concrete – Representational – Abstract) and to meet the needs of individual students. Concrete Abstract Representational ALIGNMENT OF A S K with SSS AND NCTM STANDARDS : ALIGNMENT OF A S K with SSS AND NCTM STANDARDS A S K is based on … [NCTM] Standards, Florida Sunshine State Standards, and research related to the teaching of algebraic thinking (Miller & Mercer, 1993; Witzel, Mercer, & Miller, 2003). Alignment of A S K with SSS and NCTM Standards : Alignment of A S K with SSS and NCTM Standards Understand patterns, relations, and functions Represent and analyze mathematical situations and structures using algebraic symbols Use mathematic models to represent and understand quantitative relationships Analyze change in various contexts (NCTM, 2001) AN INTERCONNECTED APPROACH : AN INTERCONNECTED APPROACH How Can You Participate in A S K ? : How Can You Participate in A S K ? Contact: Kay Younginger University of Central Florida 1673 Mason Avenue, Suite 207 Daytona Beach, 32117 projcentral@mail.ucf.edu 386-274-0175