The synthesis of research resulted in an integrated approach to preparing mathematics teachers using four technology - based resources housed at the Center
for Algebraic Thinking website (Resources are freely accessible at http://www.algebraicthinking.org):
In addition to practice with basic number facts, the puzzles also encourage development of skills needed
for algebraic thinking, such as thinking backward, solving for an unknown, and eliminating solutions.
Not exact matches
Cindy Bryant
[email protected] served 25 years teaching mathematics, is a former member of the National Council of Teachers of Mathematics (NCTM) Board of Directors, a Presidential Awardee
for Excellence in Mathematics Teaching, former Director of K — 12 Mathematics
for the state of Missouri, 2014 Singapore Institute
for Math Specialist in International Schools (MSIS) Operations &
Algebraic Thinking (K - 8) Lead Instructor, previously served as the Director of Learning
for LearnBop, and currently serves as an independent educational specialist.
Learn how to use formative assessments
for collaborative learning, support challenged and advanced learners, and tips to accelerate
algebraic thinking.
Facilitate discussions that provide a window into children's
thinking, strengthen children's ability to reason about arithmetic, and build their capacity
for algebraic reasoning.
Developing an aptitude
for performing mathematical operations and instituting
algebraic thinking is a task that gets increasingly challenging as a student advances from kindergarten to fifth grade.
Build Expressions Equal to Twenty The Snap Blocks ™ tool is an engaging way
for students to make sense of the concept of equality and begin to make generalizations that will inform their
algebraic thinking.
INCLUDES: 36 Student Activity Books (1 copy of each of the six titles per grade level, 32 - pages each) 4 Answer Cases 1 Teacher Guide FEATURES: Flexibility
for task centers, independent or partner work, or one - on - one tutoring / remediation Clearly stated objective
for each activity that allows you to differentiate Focus on foundational skills and concepts Engaging puzzle format
for a fun challenge Immediate feedback
for self - checking Titles: Grade 1: Number and Operations: Counting and Place Value Addition and Subtraction: Properties and Situations Addition and Subtraction: Strategies and Equations Addition and Subtraction: Beyond 20 Measurement and Data: Length, Time, and Analysis Geometry: Shapes and Attributes Grade 2: Addition and Subtraction: To 20 and Beyond Foundations of Multiplication: Equal Groups and Arrays Addition and Subtraction: Properties and Place Value Measurement and Data: Length, Time, and Analysis Measurement and Data: Time, Money, and Analysis Geometry: Shapes and Attributes Grade 3: Number and Operations: Multiply and Divide Multiply and Divide: Problem Solving Fractions: Fractions as Numbers Measurement and Data: Use and Interpret Data Geometric Measurement: Perimeter and Area Geometry: Shapes and Attributes Grade 4: Number and Operations: Whole Numbers Number and Operations Multi-Digit and Fractions Fractions: Equivalence and Ordering Fractions: Operations Measurement and Data: Convert and Solve Problems Geometry: Angles and Plane Figures Grade 5: Operations and
Algebraic Thinking: Expressions and Patterns Number and Operations: Whole Numbers and Decimals Fractions: Add and Subtract Measurement and Data: Convert and Interpret Geometric Measurement: Volume Geometry: Graphing and 2 - D Figures Grade 6: Ratio and Proportions: Ratios and Problem Solving The Number System: Rational Numbers The Number System: Factors and Multiples Expressions and Equations: Write, Solve, and Analyze Geometry: Problem Solving Statistics and Probability: Variability and Displays
All of the problems in the lesson also had ordered pairs consisting of positive integers
for their solutions, so students were not required to
think about how
algebraic approaches to systems with noninteger solutions yield exact answers, whereas graphical and tabular approaches generally do not.
The ATP catalogued these empirically tested problems into a Formative Assessment Database
for preservice teachers to assess their students»
algebraic thinking.
Provide preservice teachers with a just - in - time resource to help them anticipate how students might interact with an
algebraic concept in their lesson, in an effort to compensate
for their relative lack of experience with students»
thinking.
A team of 17 mathematics educators and middle and high school teachers read 859 articles on students»
algebraic thinking and identified what might be useful
for preservice teachers.
We will flex their
algebraic thinking muscles to better prepare students
for higher level mathematics and
for the workforce that they will enter.
District Administration - April 2009 -(Page Cover1) DistrictAdministration April 2009 EDUCATION»S SHOT IN THE ARM AMERICAN RECOVERY AND REINVESTMENT ACT 20 THE MAGAZINE OF SCHOOL DISTRICT MANAGEMENT SPECIAL REPORT The State of School Security Strides have been made in school security, but glaring gaps remain 26 Columbine 10 years later 29 Avoiding loss, theft and purchasing redundancies 31 IT Asset Management Atlanta's Beverly Hall is honored 14 AASA's Supt of the Year www.DistrictAdministration.com Technology Integration The essential link between standards and student achievement 35
Algebraic Thinking Developing its use at all grade levels 44 http://www.DistrictAdministration.com Table of Contents
for the Digital Edition of District Administration - April 2009 District Administration - April 2009 Contents From the Editor Letters News Update Assessment Conversations Administrator Profile District Profile Education's Shot in the Arm Lessons Learned from Columbine's 10th Anniversary An Interview with Columbine's Superintendent, Cynthia Stevenson Keeping Track of Technology Classroom Technology Integration How Well Does This Web Site Work?
Color tiles are perfect
for modeling math concepts such as basic arithmetic skills, geometry,
algebraic understanding, sorting, patterning, logical
thinking, and much more.
INCLUDES: 24 Student Activity Books (4 copies of each title, 32 - pages each) 8 Answer Cases 1 Teacher Guide FEATURES: Flexibility
for whole - class practice, small - group guided practice, independent or partner work, learning stations Clearly stated objective
for each activity that allow you to differentiate Focus on foundational skills and concepts Engaging puzzle format
for a fun challenge Immediate feedback
for self - checking Level 5 Titles: Operations and
Algebraic Thinking: Expressions and Patterns Number and Operations: Whole Numbers and Decimals Fractions: Add and Subtract Measurement and Data: Convert and Interpret Geometric Measurement: Volume Geometry: Graphing and 2 - D Figures
INCLUDES: 6 Student Activity Books (1 copy of each title, 32 - pages each) 2 Answer Cases 1 Teacher Guide FEATURES: Flexibility
for task centers, independent or partner work, or one - on - one tutoring / remediation Clearly stated objective
for each activity that allows you to differentiate Focus on foundational skills and concepts Engaging puzzle format
for a fun challenge Immediate feedback
for self - checking Level 5 Titles: Operations and
Algebraic Thinking: Expressions and Patterns Number and Operations: Whole Numbers and Decimals Fractions: Add and Subtract Measurement and Data: Convert and Interpret Geometric Measurement: Volume Geometry: Graphing and 2 - D Figures
** Sample Grade 4, Large Domain and Cluster Standards
for Operations and
Algebraic Thinking (there are five Domains
for Grade 4): Operations and
Algebraic Thinking 4.