Math Terms

Math Terms - Math Operational Terms Math University of...

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Unformatted text preview: Math Operational Terms Math University of Texas/TSC Brownsville Prepared by Dr. Elva Cerda Pérez Mathematical Operational Operational Terms Patterns Patterns A pattern is a model to be copied or pattern a design from which to work. design Example: (Pattern) Source: New Concise Webster’s Dictionary, 1990 Edition Estimation Estimation Estimation presents students with another Estimation dimension of mathematics; terms such as about, near, closer to, between, and a little less than illustrate that mathematics involves more than exactness. more Example: Without counting, estimate which Example: has less than 5 and which has more than 5. has 5 Source: 1989 NCTM Standards: Grades K-4 Standards 5: Estimation http://standards.nctm.org/previous/currevstds/k4s5.htm Drawing Pictures Drawing Drawing pictures are natural ways that Drawing students communicate their mathematical investigations from early childhood through 2nd grade. Example: A child’s notation for 10½. Source: 1989 NCTM Standards: Grades K-2 Communication http://standards.nctm.org/document/chapter4/comm.htm Concrete Representations: Models Concrete Representations are more powerful tools Representations for thinking; they make mathematical ideas more concrete and available for reflection. They support and extend reasoning by helping students focus on essential features of the mathematical situation. situation. Example: Example: 1+1= 2 (Using cubes) + = Source: Principles and Standards http://www/nctm.org/tcm/2001/01/p288.htm Graph Graph A graph is the set of all points that graph correspond to the ordered pairs that satisfy that equation satisfy Example: Example: 90 80 70 60 East West North 50 40 30 20 10 0 1st Qtr 2nd Qtr 3rd Qtr Source: Math Dictionary http://kidsmath.about.com/.../bldictionary.htm?terms=math+dictionary 4th Qtr Numbers Numbers Numbers are the total count of Numbers aggregated units or the symbol that stands for this amount. stands Example: Example: (3) Source: New Concise Webster’s Dictionary, 1990 Edition Numeration Numeration Numeration is the act, art, or method Numeration of expressing or reading off numbers set down in numerals, especially those written decimally. those Example: Counting with an abacus. Source: Ato Z Dictionary Wysiwyg:/44/http://www.infoplease.com/ipd/A0562528.html Critical Thinking in Math Critical Critical thinking is the central to inquiry and Critical application and should be interwoven throughout the mathematics curriculum to provide a context for learning and applying mathematical ideas. mathematical Example: Try to make a hexagon with Example: different shapes of manipulatives. different Source: Grades 6-8: Problem Solving http://standards.nctm.org/document/chapter6/prob.htm Guessing and Checking Guessing To form a judgment or estimate of (something) To without actual knowledge or enough facts for certainty; to investigate in order to determine the condition, validity, etc. condition, Example: Guess how many bricks are there? Example: Then, count them to check if you were right. Then, Source: Webster’s New World. College Dictionary. Fourth Edition. New York (1999) Manipulatives Manipulatives Manipulatives are important tools in helping Manipulatives student think and reason in more meaningful ways. By giving students concrete ways to compare and operate on quantities this contributes to the development of wellcontributes grounded understandings of mathematical grounded ideas. ideas. Example: The student will add 3 + 2 using Example: bingo chips. bingo + Source: Manipulatives: One Piece of the Puzzle http://www.cetm.org/mtms/2001/02/p356.htm National Council of Teachers of Mathematics Curriculum and Evaluation Standards Curriculum The National Council of Teachers of Mathematics The Curriculum and Evaluation Standards provides guidelines for excellence in mathematics education and issue a call for all students to engage in more challenging mathematics. It is intended to be a resource and guide for all who make decisions that affect the mathematics education of students in prekindergarten through grade 12. prekindergarten Example: Example: As teachers, we have to make sure to As implement these standards in the curriculum. We have to be sure that our students are meeting the requirements that are needed to achieve the skills in math. achieve Source: Principles and Standards-Preface http://standards.nctm.org/document/prepost/preface.htm Mathematical Tables Mathematical A systematic list of details, facts, numbers, etc. systematic systematically arranged in columns or rows. systematically Example: Multiplication table x 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 2 3 4 5 2 0 2 4 6 8 10 3 0 3 6 9 12 15 4 0 4 8 12 16 20 5 0 5 10 15 20 25 Source: Billstein, R.et al. (1990). A Problem Solving Approach to Mathematics for Elementary School Teachers. Ed. The Benjamin/Cummings Publishing Co., Inc. 4th ed. Drawings in Math Drawings A picture of the study of the relationships picture among numbers, shapes, and quantities made with a pencil, pen, or crayon. made Example: A drawings of a geometric Example: shapes. shapes. Source: Webster’s New World. College Dictionary. Fourth Edition. New York (1999) ...
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