December 2, 2009

Intended as a resource for teachers, this site is also an excellent resource for parents as a reference during homework time. Make sure to look at the research and reference, subject categories and online libraries!

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- Mathematics > General
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Explore, examine, and make observations about a social problem or mathematical situation

Interpret information correctly, identify the problem, and generate possible solutions

Act out or model with manipulatives activities involving mathematical content from literature and/or story telling

Formulate problems and solutions from everyday situations (e.g., counting the number of children in the class, using the calendar to teach counting).

Use informal counting strategies to find solutions

Experience teacher-directed questioning process to understand problems

Compare and discuss ideas for solving a problem with teacher and/or students to justify their thinking

Use manipulatives (e.g., tiles, blocks) to model the action in problems

Use drawings/pictures to model the action in problems

Explain to others how a problem was solved, giving strategies

Understand that mathematical statements can be true or false

Investigate the use of knowledgeable guessing as a mathematical tool

Explore guesses, using a variety of objects and manipulatives

Listen to claims other students make

Understand how to organize their thought processes with teacher guidance

Share mathematical ideas through the manipulation of objects, drawings, pictures, and verbal explanations

Listen to solutions shared by other students

Formulate mathematically relevant questions with teacher guidance

Use appropriate mathematical terms, vocabulary, and language

Recognize the presence of mathematics in their daily lives

Use counting strategies to solve problems in their daily lives

Recognize and apply mathematics to objects and pictures

Use multiple representations, including verbal language, acting out or modeling a situation, and drawing pictures as representations

Use standard and nonstandard representations

Use objects to show and understand physical phenomena (e.g., guess the number of cookies in a package)

Use objects to show and understand social phenomena (e.g., count and represent sharing cookies between friends)

Use objects to show and understand mathematical phenomena (e.g., draw pictures to show a story problem, show number value using fingers on your hand)

Count the items in a collection and know the last counting word tells how many items are in the collection (1 to 10)

Count out (produce) a collection of a specified size 1 to 10

Numerically label a data set of 1 to 5

Verbally count by 1's to 20

Verbally count backwards from 10

Represent collections with a finger pattern up to 10

Draw pictures or other informal symbols to represent a spoken number up to 10

Draw pictures or other informal symbols to represent how many in a collection up to 10

Write numbers 1-10 to represent a collection

Visually determine how many more or less, and then using the verbal counting sequence, match and count 1-10

Use and understand verbal ordinal terms, first to tenth

Solve and create addition and subtraction verbal word problems (use counting-based strategies, such as counting on and to ten)

Determine sums and differences by various means

Use a variety of manipulatives to create patterns using attributes of color, size, or shape

Recognize, describe, extend, and create patterns that repeat (e.g., ABABAB or ABAABAAAB)

Describe characteristics and relationships of geometric objects

Sort groups of objects by size and size order (increasing and decreasing)

Explore vertical and horizontal orientation of objects

Manipulate two- and three-dimensional shapes to explore symmetry

Understand and use ideas such as over, under, above, below, on, beside, next to, and between

Name, discuss, and compare attributes of length (longer than, shorter than)

Compare the length of two objects by representing each length with string or a paper strip

Relate specific times such as morning, noon, afternoon, and evening to activities and absence or presence of daylight

Gather data in response to questions posed by the teacher and students

Help to make simple pictographs for quantities up to 10, where one picture represents 1

Sort and organize objects by two attributes (e.g., color, size, or shape)

Represent data using manipulatives

Identify more, less, and same amounts from pictographs or concrete models