Math Operational Terms

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Math Operational Terms
University of Texas/TSC Brownsville

• Prepared by Dr. Elva Cerda Pérez

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Mathematical OperationalTerms
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Patterns

• A pattern is a model to be copied or a design
  from which to work.
• Example (Pattern)

Source New Concise Websters Dictionary, 1990
Edition
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Estimation

• Estimation presents students with another
  dimension of mathematics terms such as about,
  near, closer to, between, and a little less than
  illustrate that mathematics involves more than
  exactness.
• Example Without counting, estimate which has
  less than 5 and which has more than 5.

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Source 1989 NCTM Standards Grades K-4 Standards
5 Estimation http//standards.nctm.org/previous/
currevstds/k4s5.htm
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Drawing Pictures

• Drawing pictures are natural ways that students
  communicate their mathematical investigations
  from early childhood through 2nd grade.
• Example A childs notation for 10½.

Source 1989 NCTM Standards Grades K-2
Communication http//standards.nctm.org/document/c
hapter4/comm.htm
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Concrete Representations Models

• Representations are more powerful tools 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.
• Example 1 1 2

(Using cubes)

Source Principles and Standards
http//www/nctm.org/tcm/2001/01/p288.htm
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Graph

• A graph is the set of all points that correspond
  to the ordered pairs that satisfy that equation
• Example

Source Math Dictionary http//kidsmath.about.com/
.../bldictionary.htm?termsmathdictionary
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Numbers

• Numbers are the total count of aggregated units
  or the symbol that stands for this amount.
• Example

(3)
Source New Concise Websters Dictionary, 1990
Edition
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Numeration

• Numeration is the act, art, or method of
  expressing or reading off numbers set down in
  numerals, especially those written decimally.
• Example Counting with an abacus.

Source Ato Z Dictionary
Wysiwyg/44/http//www.infoplease.com/ipd/A0562528
.html
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Critical Thinking in Math

• Critical thinking is the central to inquiry and
  application and should be interwoven throughout
  the mathematics curriculum to provide a context
  for learning and applying mathematical ideas.
• Example Try to make a hexagon with different
  shapes of manipulatives.

Source Grades 6-8 Problem Solving http//stand
ards.nctm.org/document/chapter6/prob.htm
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Guessing and Checking

• To form a judgment or estimate of (something)
  without actual knowledge or enough facts for
  certainty to investigate in order to determine
  the condition, validity, etc.
• Example Guess how many bricks are there? Then,
  count them to check if you were right.

Source Websters New World. College
Dictionary. Fourth Edition. New York (1999)
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Manipulatives

• Manipulatives are important tools in helping
  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 well-grounded understandings of
  mathematical ideas.
• Example The student will add 3 2 using bingo
  chips.

Source Manipulatives One Piece of the
Puzzle http//www.cetm.org/mtms/2001/02/p356.htm
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National Council of Teachers of Mathematics
Curriculum and Evaluation Standards

• The National Council of Teachers of Mathematics
  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.
• Example
• As teachers, we have to make sure to 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.

Source Principles and Standards-Preface http//s
tandards.nctm.org/document/prepost/preface.htm
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Mathematical Tables

• A systematic list of details, facts, numbers,
  etc. systematically arranged in columns or rows.
• Example Multiplication table

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.
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Drawings in Math

• A picture of the study of the relationships among
  numbers, shapes, and quantities made with a
  pencil, pen, or crayon.
• Example A drawings of a geometric shapes.

Source Websters New World. College
Dictionary. Fourth Edition. New York (1999)