It's 10 a. m.: Can Your Pre-Schooler Recognize, Use, and Represent Algebraically Patterns, Relations, and Functions?
Ohanian Comment: Someone should send this to Jon Stewart.
Marching strongly to the good old corporate Standardista drum roll, New York state functionaries provide mathematical imperatives that will enable go-along educationists to fulfill their roles in the label 'em young as deficient and label 'em often game plan.
The theory is that you can't be too rich, too thin, or too tested.
This document provides a convincing case for people to homeschool--so they'll have time to stop and smell the daisies with their three-year-olds.
New York State Learning Standards for Mathematics
Approved by NY State Regents, January 11, 2005, Effective September 2005.
Problem Solving Strand
Students will build new mathematical knowledge through problem solving.
PK.PS.1 Explore, examine, and make observations about a social problem
or mathematical situation
PK.PS.2 Interpret information correctly, identify the problem, and
generate possible solutions
Students will solve problems that arise in mathematics and in other contexts.
PK.PS.3 Act out or model with manipulatives activities involving
mathematical content from literature and/or story telling
PK.PS.4 Formulate problems and solutions from everyday situations
(i.e., as counting the number of children in the class or using the
calendar to teach counting)
Students will apply and adapt a variety of appropriate strategies to solve problems.
PK.PS.5 Use informal counting strategies to find solutions
PK.PS.6 Experience teacher-directed questioning process to understand
PK.PS.7 Compare and discuss ideas for solving a problem with teacher
and/or students to justify their thinking
PK.PS.8 Use manipulatives (i.e., tiles, blocks) to model the action in
PK.PS.9 Use drawings/pictures to model the action in problems
Students will monitor and reflect on the process of mathematical problem solving.
PK.PS.10 Explain to others how a problem was solved, giving strategies
Reasoning and Proof Strand
Students will recognize reasoning and proof as fundamental aspects of mathematics.
PK.RP.1 Understand that mathematical statements can be true or false
Students will make and investigate mathematical conjectures.
PK.RP.2 Investigate the use of knowledgeable guessing as a mathematical
PK.RP.3 Explore guesses, using a variety of objects and manipulatives
Students will develop and evaluate mathematical arguments and proofs.
PK.RP.4 Listen to claims other students make
Students will organize and consolidate their mathematical thinking through communication.
PK.CM.1 Understand how to organize their thought processes with
Students will communicate their mathematical thinking coherently and clearly to peers,
teachers, and others.
PK.CM.2 Share mathematical ideas through the manipulation of objects,
drawings, pictures, and verbal explanations
Students will analyze and evaluate the mathematical thinking and strategies of others.
PK.CM.3 Listen to solutions shared by other students
PK.CM.4 Formulate mathematically relevant questions with teacher
Students will use the language of mathematics to express mathematical ideas precisely.
PK.CM.5 Use appropriate mathematical terms, vocabulary, and language
Students will recognize and apply mathematics in contexts outside of mathematics.
PK.CN.1 Recognize the presence of mathematics in their daily lives
PK.CN.2 Use counting strategies to solve problems in their daily lives
PK.CN.3 Recognize and apply mathematics to objects and pictures
Students will create and use representations to organize, record, and communicate
PK.R.1 Use multiple representations, including verbal language, acting
out or modeling a situation, and drawing pictures as
PK.R.2 Use standard and nonstandard representations
Students will use representations to model and interpret physical, social, and mathematical phenomena.
PK.R.3 Use objects to show and understand physical phenomena
(i.e., guess the number of cookies in a package)
PK.R.4 Use objects to show and understand social phenomena
(i.e., count and represent sharing cookies between friends)
PK.R.5 Use objects to show and understand mathematical phenomena
(i.e., draw pictures to show a story problem, show number
value using fingers on your hand)
Number Sense and Operations Strand
Students will understand numbers, multiple ways of representing numbers, relationships
among numbers, and number systems.
Number Systems PK.N.1 Count the items in a collection and know the last counting word
tells how many items are in the collection (1 to 10)
PK.N.2 Count out (produce) a collection of a specified size 1 to 10
PK.N.3 Verbally count by 1's to 10
PK.N.4 Explore the different representations of a group of objects
PK.N.5 Draw pictures or other informal symbols to represent a spoken
number up to 5
PK.N.6 Draw pictures or other informal symbols to represent how many
in a collection up to 5
PK.N.7 Recognize numerals (0-5)
PK.N.8 Use and understand the terms first and last
Students will understand meanings of operations and procedures, and how they relate to one another.
Operations PK.N.9 Develop addition and subtraction readiness with sums up to 4
and subtraction involving one to four items, using manipulatives
Students will recognize, use, and represent algebraically patterns, relations, and functions.
Patterns, Relations, PK.A.1 Duplicate simple patterns using concrete objects
Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes.
Shapes PK.G.1 Match shapes, first with same size and orientation, then with
different sizes and orientation
PK.G.2 Informally play with solids (i.e., building blocks)
Students will determine what can be measured and how, using appropriate methods and formulas.
Units of PK.M.1 Develop language such as bigger, longer, and taller to discuss
PK.M.2 Relate specific times such as day and night
Statistics and Probability Strand
Students will collect, organize, display, and analyze data.
PK.S.1 Sort and organize objects by one attribute (i.e., color, size, or Display of Data shape)
PK.S.2 Use physical objects to make graphs
Analysis of Data
PK.S.3 Count and compare groups formed (quantify groups formed)
PK.S.4 Describe the attributes of objects
New York State Education Department
New York State Learning Standards for Mathematics