NUMBER SENSE

Last Updated:  8/10/03

• ENTRIES.     As many as THREE students from EACH GRADE LEVEL (grades 4, 5, 6, 7 and 8) may be entered in the NUMBER SENSE District Contest from each school.  Designated adults representing each school will select contestants to represent the campus at the District Meet based on their abilities and interest in mental math, as well as other  factors, which  are  decided  upon by each school. Each grade level is judged separately in contest.

• NATURE OF THE CONTEST.    The contest presents 80 problems.  Elementary (Grades 4 and 5) problems requiring the applications of the four basic operations (+, -, x, ÷) for their solution constitute the core of what is commonly thought of as number sense.  The middle school contest may range from whole number arithmetic to topics on the study of sequences in analysis, and topics  relating to the efficient and/or high speed solution of mathematics problems.
    

• WHAT HAPPENS IN THE CONTEST.    The contest director will announce the time and place that contestants and one adult should report for verification of the scoring of tests. Tests will be distributed to contestants face up, and contestants will be instructed to write their grade levels and their contestant ID numbers in the spaces provided on the front cover.  Contestants must not open the test until the start signal is given. The contest director will tell contestants their ID numbers, usually during roll call. (Alternates taking the place of absent registered contestants should be sure to let the contest director know as they enter the room to save time in roll call.)  No alarm watches or other devices that emit sound are allowed in the contest room. 

TIME ALOTTED.
Contestants will have 10 minutes beginning at the start signal. No time warning will be given. Contestants will remain quietly in their seats until the time has expired.

MARKING ANSWERS. 
Contestants will use a BLUE ball point pen to write answers in the blanks provided on the test.  ERASURES AND MARKOUTS IN THE ANSWER SPACE ARE NOT PERMITTED.  Any marking in the answer space will constitute an attempt.  Number Sense problems are arranged in a sequential format (see p. 43 of the PSIA Academic Handbook).
    (a) Fractions.  All fractions must be reduced to lowest terms.  Improper fractions are acceptable answers.  Decimal answers are permitted for the unstarred problems whose answers are exactly expressible as decimals.  For example, 3/2, 11/2, and 1.5 are all acceptable.  Starred problems on the test sheets require approximate integral answers, i.e., they permit 5% error; unstarred problems require exact answers.
    (b)  Symbols.  Symbols such as § and  %  are usually printed on the sheet.  Therefore, answers require only the writing of numerals.  If a symbol is omitted from the printed sheet, it is not the responsibility of the contestant to make sure the answer is complete.  If not printed, the student need not include it in the answer.  (This rule excludes dollars and cents markings.)
    (c) Dollars and Cents.  In agreement with the philosophy that answers should be complete, all dollars and cents problems must have complete answers.  That is, twenty-three dollars must be written as $23.00 (with $ and .00).  Sixteen cents must be written as $.16 or 16¢, depending on the answer blank format.  The contestant’s adding of a symbol, such as the $, to a line that already has the symbol posted does not constitute an error.
    (d)  Efficient Forms.  Numerical answers should be written so that the answers are complete as in the two examples above.  However, the answer should be written in the most efficient form possible.  For example, if the answer is 16, the written answer 16.000 is not acceptable for the purposes of the number sense competition.  Extraneous zeroes are not to be used.  For example, if .16 is the answer, 0.16 is not an acceptable format.
    (e)  Exponentials.  An answer such as 3 x 103 should be expressed as 3000 and not left in exponential form.

• SCORING.    
Add 5 points for each correct answer.   Subtract 2 points for each wrong answer, for each answer that was marked through or erased, AND for skipped or unanswered test items.

• VERIFICATION PERIOD
.     No pens or pencils should be in contestants’ hands while tests and answer sheets with keys are reviewed.  Contestants and ONE coach OR parent OR adult have 15 minutes to check the computation of scores and ask questions about items counted incorrect.  If the contest is held before March 31, tests must be turned back in to the contest director.  Contestants will be disqualified from the contest should the paper be taken from the room prior to this date.  After verification has been completed, awards will be issued. (At State, medals will be awarded through 6th place.)

MATERIALS

A variety of materials from a large number of sources is available for those who wish to get involved in PSIA number sense competition.* Among them are:
  1. The Elements of Number Sense. © 2001by Doug Ray.  A student and teacher user-friendly handbook for teaching Number Sense skills.  Available for only $4.00 on the PSIA Study Materials Order Form.
  2. Last year's PSIA District and State Number Sense tests are included in both the PSIA Elementary and Middle School Academic Study Materials booklets, which may be ordered on the PSIA Study Materials Order Form.
  3. Developing Middle School Number Sense Skills- This 1996 edition and a newer edition now available was written by Don Skow, a UIL test writer.
  4. Mental Mathematics for the Number Sense Contest. Frances Walzel, Route 1 Box 173, Cameron, Texas, 76520.
  5. Number Sense: A Starters Kit (booklet and sample tests), RAM Elementary Number Sense (10 tests), and Junior High RAM Classics (tests). Leo Ramirez, 3103 West Hwy. 83 #24, McAllen, Texas, 78501, 512/682-5185.
  6. Number Sense Software (Commodore or Radio Shack). Janice Wilde, Box 92, Munday, Texas, 76371, 817/422-4650.
  7. Number Sense: Elements of Number Sense by Jim Cummings, © 1985. Second edition, 1986. Book contains 280 pages of number sense methods, tests, tables and other helpful information. Designed for middle through senior high school students. $25.00. AMT Test Writing Service, Rt. 3 Box 452-G, Azle, Texas, 76020. 817/444-3655.
*Additional number sense materials are available through TMSCA (Texas Math and Science Coaches Association). Call 1-800-547-0323.


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