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With support for the connections between the strategies, processes, and skills within the domains of reading and mathematics, can an argument be made for mathematical literacy? David Whitin, Heidi Mills and Timothy O'Keefe present an argument for such a concept in "Living and Learning Mathematics, Stories and Strategies for Supporting Mathematical Literacy."
The authors maintain that students become mathematically literate the same way they become literate in reading. Mathematics is more than numbers just as reading is more that letters. Literacy involves placing numbers into meaningful context in daily living. It is demonstrated by students putting numbers to good use within the structure of their lives, their stories and their literature. Students work together, observing and investigating uses of numbers, asking questions, and planning strategies, to find the answers. These are the kinds of activities that can create and support the environment for mathematical literacy.
Thank you! Thank you! Jasmine Conover and her AMAZING students for a Wonderful Counting Collections Lesson!
Please Note the Questioning to Guide Students and the Routines Developed in Number Corner
Please Note the Interactions of the Student to Teacher as Well as the Questioning to Guide Students Up the Landscape
By using the High Impact Math Lesson Structures we have learned, we are tapping into Cognitively Guided Instruction.
What it IS:
Cognitively Guided Instruction (CGI) is a system of beliefs about teaching
What it is NOT:
not a new textbook program to be implemented.
The Importance of Early Math Skills
Click the Image Below to Access the Number Corner Overview Videos for November.
They are full of great ideas and suggestions for implementing the lessons each day.
A great walk through.
Number Rack helps students learn addition and subtraction math facts using the number rack, a math tool that builds conceptual understanding and fluency through seeing and understanding number relationships. In this webinar, The Math Learning Center’s Nicole Rigelman and Shelly Scheafer walk you through Bridges Breakout: Number Rack with a focus on the underlying pedagogy, classroom use cases, and example lessons. Login to Bridges and click image to view.
Activities can be adapted for any grade based on the needs of your students. Activities will aid in differentiation for all levels, similar to meeting the needs in reading!
What Is It? Learning to Count
Calling out numbers in any order;
Rote counting numbers in order;
Touching each item and calling out a number, without missing any items;
Understanding that the last number said is the total; and
Looking at 4 cookies and saying, "Four!"
Small Groups, Individuals
Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted.
Click the top image to access a game that utilizes the Student Number Racks. This activity will focus on making numbers 1-10 using different combinations of beads. Students will use both lines on the Number Rack to make the numbers in creative ways. The image below are different variations of the game. Click for a larger version.
Fish Eyes: A Book You Can Count On by Louis Ehlert
Whole Group or Individual
Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects.)
This book is a great read aloud. After reading the book to the class, give each child a sheet of grid paper and fish stickers. Have each child write the numerals 0-9 in a column down the left side of the paper, one numeral for each line. To each line, they should add the number of fish stickers shown by the numeral - no fish for the 0 line, one fish for the one line, and so forth. You may prefer to have the students add the fish as they write each numeral. Click the image for the video read aloud.
Whole Group
Compare two numbers between 1 and 10 presented as written numerals.
The best way to compare written numerals is to use a Number Line. Fun objects can help students to recognize the relative positions - and relative values - of numbers from 1-10. For example, use turkey clothespins or turkey erasures on a number line to show the relative positions of numbers.
What Is It? Learning when it is appropriate to use addition and subtraction.
Progression:
Kinder becomes fluent in facts to 5;
1st Grade master facts through 10;
2nd Grade become fluent in all facts through 20;
3rd Grade solves problems using multiplication, they know the relationship between multiplication and division, multiply and divide within 100 & solve problems involving the 4 operations;
4th Grade uses the 4 operations with whole numbers to solve problems and generate and analyze patterns;
5th Grade write and interpret numerical expressions and analyze patterns and relationships;
When students have mastered simple addition and subtraction, they are not only fluent in related number facts, they also understand the REASONS for doing so, and can represent operations with correct symbols.
Ensure they know the meaning prior to introducing number sentences.
Whole Group, Pairs
Determine whether a group of objects (up to 20) has an odd or even number of members. Write an equation to express an even number as a sum of two equal addends.
Chrysanthemum by Kevin Henkes
In this book, a mouse learns to love her 13- letter name in spite of her classmates' taunts. This activity provides opportunity for students to use their own names to explore odd and even numbers and to investigate what happens when we add these kinds of numbers.
What Is It?
Place value;
A critical piece is the number 0 as a placeholder;
Builds a critical foundation.
Progression:
Kinder is expected to understand numbers from 11 to 19 as a set of 10 and ones;
First Grade should be able to use mental math to add and subtract multiples of 10 within 100;
Second grade are expected to understand numbers to 1,000; fluently add and subtract within 100; and add and subtract within 1,000, using a variety of strategies.
Third Grade use place value understanding and properties of operations to add and subtract;
Fourth Grade generalize place value understanding for multi-digit whole numbers and use place value understanding and properties of operations to perform multi-digit arithmetic;
Fifth Grade understand the place value system and perform operations with multi-digit whole numbers and with decimals to hundredths.
A bean stick is a simple craft stick that has 10 beans similar size glued to it. This are effective in helping students understand the base-10 system.
Each student makes 10 bean sticks. They make them independently to emphasize the count and so they really believe that there are 10!
Click the image to the right for instructions.
Click the Image Below for the Tens and Ones and H, T, O Work Mats.
Whole Class, Small Group, Individual
Compose multi-digit numbers and explain what the digit in the place represents.
Whole Class
Understand that the two digits of a two-digit number represent amounts of tens and ones.
In this classic class game with a tens and ones twist, students practice seeing the visual of the tens and ones and translating it to say the number out loud. I love this tens and ones activity because it encourages students to focus on listening to their peers and mentally translating visuals of tens and ones into numbers.
Click Image Below for the Game Card Deck for Upper Grades
What Is It?
Length, Volume, Weight, Time
Connect to the students' world
The more measurements your students make for a particular value, the more helpful it is to
Progression:
What Is It?
Progression:
Why Do We Get ANXIETY About Math??
Where Do Our Math Symbols Come From?
Click the Image Below to Access The Math Learning Center You Tube Channel
Included are lesson videos, ideas for implementation and overviews of the Math Apps!