ETA hand2mind® has joined forces with edWeb.net, a professional social and learning network to provide a place where educators can learn about national mathematical standards and practices, engage in online discussions, earn CE Certificates and more. Join us at our Building Understanding in Mathematics for new, upcoming webinars.
Building Bridges from Concrete to Abstract
Teaching well with manipulatives means helping learners connect
concrete representations with more abstract ways of presenting mathematics.
This series of four webinars examines strategies for transitioning from
manipulative-based mathematics to using abstract representations such as
Part 1: Addition & Subtraction of Whole Numbers & Decimals
Dr. Sara Delano Moore will share activities that progress from working with Counters to working with Rekenreks and Ten Frames. Sara will explore strategies for developing early number sense through counting. Watch Video ▶
Part 2: Multiplication & Division of Whole Numbers
Dr. Sara Delano Moore will shares strategies for helping students see connections between area models built with Base Ten Blocks and partial products/partial quotients algorithms. Webinar focuses on supporting students as they become fluent in the critical skills of multiplication and division.
Watch Video ▶
Foundations of Algebra: Manipulative Kit Introduction
This webinar breaks down each Module and shows how to use manipulatives to help build concrete understanding of mathematical concepts.
New standards and assessments emphasize building procedural knowledge from conceptual understanding–the algorithm comes at the end of instruction. Our five-part series Visual Models in Math: Connecting Concepts with Procedures focuses on the role of visual models in helping students make this transition effectively so that the steps of procedures make sense to them.
Part 1: Connecting Concepts with Procedures Overview
Dr. Sara Delano Moore shares an overview of the series and discusses student understanding of the number system, an essential foundation for this work. Join Sara as she talks about number sense and the role of visual models in developing concepts and procedures.
Featured Manipulatives: Counters | Base Ten Blocks | Algebra Tiles
Part 2: Connecting Concepts with Procedures for Whole Number & Decimal Addition/Subtraction
Dr. Sara Delano Moore shares strategies for helping students understand place value and connecting this understanding to addition and subtraction algorithms. Join Sara as she talks about addition and subtraction in the base ten number system.
Featured Manipulative: Base Ten Blocks
Part 3: Visual Models in Math: Connecting Concepts with Procedures for Fraction Addition and Subtraction
Dr. Sara Delano Moore shares strategies for helping students understand adding and subtracting fractions. Join Sara as she talks about making fraction addition and subtraction make sense to students.
Featured Manipulatives: Fraction Towers | Number Lines
Watch Video ▶
Part 4: Visual Models in Math: Connecting Concepts with Procedures for Whole Number & Decimal Multiplication/Division
Dr. Sara Delano Moore shares strategies for helping students understand multiplication and division, particularly the role of partial products and quotients.
Part 5: Visual Models in Math: Connecting Concepts with Procedures for Fraction Multiplication and Division
Dr. Sara Delano Moore shares strategies for helping students understand multiplying and dividing.
Featured Manipulative: Fraction Towers | Number Lines
A four-part series focused on Formative Assessment–a powerful tool for improving teaching and increasing student learning. Discover strategies for strengthening the role of formative assessment in mathematics instruction, questioning techniques that support visible student thinking, how to use manipulatives to strengthen instruction, and more!
Part 1: What is Formative Assessment?
In this session, Dr. Sara Delano Moore focuses on the essential elements of formative assessment. Join Sara and learn the basic principles and see evidence of its power to increase student learning.
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Part 2: Questioning to Support Formative Assessment
Dr. Sara Delano Moore focuses on questioning techniques which support visible student thinking and provide quality information for teachers. Learn strategies for crafting important questions and incorporating them into your teaching. Join Sara and learn questioning techniques which move student learning forward.
Part 3: Hands-On Learning to Support Formative Assessment
Dr. Sara Delano Moore shares strategies for helping students understand adding and subtracting fractions. Join Sara and learn strategies for including hands-on instruction as a formative assessment tool in your classroom at any level.
Part 4: Rich Mathematical Tasks to Support Formative Assessment
Dr. Sara Delano Moore focuses on the power of rich mathematical tasks to support formative assessment. Rich tasks provide multiple student entry points and many opportunities to make student thinking visible using a variety of strategies.
Why Fractions? Why Now?
Conceptual understanding of fractions is one predictor of overall student achievement, so it’s no surprise fractions instruction is a focus area of the new standards. This instructional shift is forcing educators to seek out resources specifically built to address this change.
Featured Product: Hands-On Standards® Fractions
Two-part series explores quick strategies for extending understanding of whole numbers using common manipulatives such as Base Ten Blocks, Cuisenaire® Rods, and Fraction Towers.
Part 1: Foundations of Decimals
Dr. Sara Delano Moore examines early models of decimals and connections to fractions and place value, how to use place value as an instance of patterning to develop decimal concepts, and explores fractions with denominators of 10 and 100 as a connecting point between decimals and fractions.
Featured Manipulatives: Base Ten Blocks | Coin Tiles | Fraction Squares | Fraction Towers
Part 2: Decimal Operations
Dr. Sara Delano Moore examines operations with decimals. She explores the instructional strategies used to connect operations with decimals to operations with whole numbers and focuses on developing number sense to help students understand operations as they work with decimals.
Featured Manipulatives: Base Ten Blocks
Part 3: Ratio & Proportion
Dr. Sara Delano Moore focuses on the idea of unit rate and how it extends to understanding of slope and linear functions. Having focused on continuous models (area & number line) in the study of fractions, this session also considers the discrete (set) model as a tool for representing ratios.
Featured Manipulatives: XY Coordinate Pegboard
Part 4: Fractions in Primary Grades
Dr. Sara Delano Moore explores the idea of sharing fairly, partitioning shapes into equal shares, and connections from fractions to money and time during this session.
Featured Manipulatives: Coin Tiles | Fraction Towers | Fraction Circles & Rings | Geoboards | Number Lines
Instructional experiences are essential to developing geometric reasoning skills. Our Fall 2015 series explored strategies for developing geometric reasoning skills effectively across the grades.
Part 1: Laying a Strong Foundation
Dr. Sara Delano Moore shares a developmental progression for geometric reasoning as well as strategies for laying a strong foundation. She also explores ways to develop student understanding of shapes and attributes.
Featured Manipulatives: Attribute Blocks | Pattern Blocks
Part 2: Identifying Critical Attributes
Dr. Sara Delano Moore shares strategies for helping students understand which attributes define a shape. She also explores ways to help students see attributes of shapes and identify those which are essential to defining a shape.
Featured Manipulatives: AngLegs | Geoboard
Part 3: Properties of Lines & Angles
Dr. Sara Delano Moore shares strategies for helping students understand properties of lines and angles. She also explores ways to help students master angles and parallel/perpendicular lines.
Featured Manipulatives: AngLegs | Geoboard | Polygons+ Power Pack
Part 4: Classifying Plane Figures
Dr. Sara Delano Moore discusses classifying figures with a focus on triangles and quadrilaterals. She showes how to pull our geometric reasoning skills series together into a “family tree” for polygons.
The Standards for Mathematical Practice and the Science & Engineering Practices have much in common. This three-part webinar series explores these connections and their implications for instruction, in science, in mathematics, and in integrated STEM experiences.
Part 1: Developmental Progressions
Dr. Sara Delano Moore kicks off this series with a discussion of the idea of developmental progressions in the practices. She addresses strategies for supporting the practices at various grade levels. Teachers at every level can support improved student thinking by integrating these practices into their current instruction.
Part 2: Problem-Solving Elements
Dr. Sara Delano Moore focuses on the elements of the practices which emphasize problem solving in mathematics, science, and engineering. You will see that the core elements of the process are quite similar. Learn about these commonalities as well as strategies for making your students better problem solvers.
Part 3: Communication & Argument
Dr. Sara Delano Moore focuses on communication and argument in mathematics and science. Making the case for the problem they have solved is an important skill to master. Learn strategies for helping your students make the case for their thinking.
Number in Context Part 4: Understanding Multiplication and Division
Dr. Sara Delano Moore talks about building conceptual understanding of multiplication and division. She gives relative examples of different ways to look at terminology and explores how teachers can help their students extend their knowledge of addition and subtraction and learn about the operations in ways which will continue to make sense as they move to fractions, algebra, and other advanced mathematics.
Featured Manipulatives: Counters | Color Tiles | Base Ten Blocks | Algebra Tiles
Problem Solving and Operations Part 1: Addition and Subtraction
The Common Core State Standards in Mathematics describe fifteen different types of math problems which can be solved by addition and/or subtraction. Dr. Sara Delano Moore talks about the developmental progression of these problem types and show how they illuminate the relationship between addition and subtraction.
Featured Manipulatives: Counters
Problem Solving and Operations Part 2: Transitioning from Addition to Multiplication
Students who understand the meaning of operations and the range of problem situations they address are well positioned to be excellent mathematicians. Dr. Sara Delano Moore talks about the developmental progression from addition to multiplication.
Problem Solving and Operations Part 3: Multiplication and Division
The Common Core State Standards in Mathematics describe eighteen different varieties of math problems which can be solved by multiplication and/or division. Dr. Sara Delano Moore talks about the developmental progression of these problem types and show how they illuminate the relationship between multiplication and division.
Featured Manipulatives: Counters | Color Tiles
Understanding Operations Part 1: Building Fluency Across the Grades
After focusing on conceptual understanding of the operations, teachers must help students use their conceptual understanding to build procedural fluency, both with basic facts and a variety of algorithms. Dr. Sara Delano Moore explains strategies to support development of mathematical practices around mathematical structure and repeated reasoning, supporting students in building fluency across the grades.
Featured Manipulatives: Base Ten Blocks | Color Tiles | Algebra Tiles | Fraction Towers | Counters
Understanding Operations Part 2: Putting it All Together
A coherent understanding of operations is a critical element of preparing students for success in mathematics in middle and high school. Dr. Sara Delano Moore shares connections between the operations understanding students build in elementary school and the mathematics to be learned in middle school and secondary school.
To build a deep understanding of number, primary grade teachers spend a great deal of time teaching in a constrained range of numbers. It can be challenging to continue instruction with rich tasks throughout the year. Webinar sessions will focus on revitalizing number instruction in primary grades with new resources and strategies.
Part 1: Using Counters, Rekenreks & Ten Frames to Develop Number Sense Through Counting
Part 2: Using Rekenreks, Ten Frames, & Base Ten Blocks to Connect Counting with Operations
Developing Number Sense in K–5 with Cuisenaire Rods, Rekenreks & Place Value Chips
Dr. Sara Delano Moore shares manipulatives to use to develop number sense in grades K–5, and explores moving beyond base ten blocks to a variety of proportional and non-proportional models.
Featured Manipulatives: Cuisenaire Rods | Place Value Chips | Rekenreks
Helping Children Make Sense of Numbers
What are key ideas in number sense and operations (adding and subtracting) that primary students need to understand? How can real-world contexts help them understand these ideas? Dr. Sara Delano Moore talks about the math, placed the math in context, and shared strategies for parent/family engagement around supporting mathematics instruction.
Building Number Sense through STEM, K–2
Dr. Sara Delano Moore shares how math, science, and technology provide an excellent platform for building number sense in measurement and using data in the primary grades. She also explores strategies and design tips to expand family involvement in math learning by adding science and technology into your K–12 curriculum.
Part 1: Riding the CCSS Math Train: Inspiring Parents to Jump on Board – and Stay There!
Getting parents involved can be a challenge, especially when it comes to math. In this webinar, Bon Crowder looks at what it really means to have parents involved in math learning. And you'll get a toolkit full of various ways to get parents excited and engaged!
Part 2: Creating & Implementing CCSS–Based Family Math Nights: Scaffolding Success in Grades –8
Family Math Nights are a great way to get your parents involved and expand math education into the home. Maybe you’re looking for ways to improve your current Family Math Night programs, or are interested in hosting your very first event. Join us on this webinar to find tips to gain ultimate parental attendance that will continue to grow with each event.
Part 3: School is Starting – Now What Do I Do About the Summer Slide?
It’s a fact: without skills practice over the summer break, students can lose 30% of the knowledge they gained during the previous school year. In our community’s next webinar, Kevin Dykema will explore strategies that can help you overcome summer slide. Learn how you can get started with the school year and build in review time along the way.
Make a Difference Now – Why Early STEM Education is Essential
ETA hand2mind and Texas A&M have collaborated to develop a series of classroom-tested, hands-on modules that strike the perfect balance of rigor and ease of use for PreK–5. Join Dr. Johannes Strobel and Dr. Sara Delano Moore to learn about early STEM education research and integrated STEM solutions.
Using STEM Projects to Apply Mathematical Learning Gr. 3–5
One definition of rigor is a balance of conceptual understanding, procedural fluency, and application. In this webinar, Dr. Sara Delano Moore looks at strategies for incorporating application in the mathematics classroom. Join Sara as she reviews a STEM project and find the applications of mathematics.
Schools and teachers often find manipulatives gathering dust in the back of a closet. This webinar series is an opportunity to explore new uses for familiar manipulatives, as well as a look at new tools to add to your toolkit.
Part 1: Developing Number Sense in K–5 with Cuisenaire Rods, Rekenreks & Place Value Chips
Part 2: Developing Geometric Measurement in Grades 3–4 with Color Tiles & AngLegs
Dr. Sara Delano Moore shares manipulatives to use to develop geometric measurement skills, particularly focusing on area and perimeter and angle measure in intermediate grades. She also explores developing conceptual foundations for critical geometric measurement skills.
Featured Manipulatives: Color Tiles | AngLegs
Part 3: Developing Expressions & Equations in Grades 6–8 with Algebra Tiles & Algeblocks
Dr. Sara Delano Moore shares manipulatives which help students develop conceptual foundations for expressions and equations. She explores helping middle school students see algebraic operations as a continuation of their elementary work.
Featured Manipulatives: Algebra Tiles | Algeblocks
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