Sunday, September 9, 2012

EDU 645: Learning & Assessments Week 6 Complete Assessment plan for 1st grade math instruction


An assessment plan focuses on defining a learning outcome to be met and a plan laid out on how to meet this outcome (Kubiszyn & Borich, 2010).  The assessment plan that will be presented focuses on determining if a classroom of first grade students can proficiently demonstrate various grade level appropriate mathematics processes. 

Purpose and Learning Outcome
The purpose of this assessment plan is to instruct first grade students on the process of adding single digit numbers to result in the sum of those two numbers and then to build on that process and teach the process of subtracting single digit numbers.  The learning outcome will be for students to show proficient understanding of the mathematical concepts of addition and subtraction of single digits and be able to perform the tasks correctly in a cumulative exam of the chapter.

Assessment Context
At the end of instruction on this chapter, students will be given an assessment consisting of a fill in the blank portion, multiple-choice questions, and mathematical problems that require solving.

Holistic Rubric

Rubric
(Students are required to understand and apply the mathematical concepts of addition and subtraction of single digit and double-digit numbers up to twenty.)

Beginning
1
Developing
2
Exemplary
3
Score

Understand and identify the appropriate definition of the addition process

Student cannot identify and/or define the process of addition or identify the components of its process
Student can identify the most basic description of the process of addition but cannot define or identify the components.
Student can define the process of addition and identify the components of the process.


Understand and identify the appropriate definition of the subtraction process


Student cannot identify and/or define the process of subtraction or identify the components of the process.
Student can identify the most basic description of the process of subtraction but cannot define or identify the components.
Student can define the process of subtraction and identify the components of the process.


Understand and identify the symbols used to represent addition, subtraction, and equals to


Student can only correctly identify one symbol that represents either addition, subtraction, or equals to.
Student can correctly identify two symbols that represent addition, subtraction, or equals to.
Student can correctly identify three symbols that represent addition, subtraction, or equals to.


Correctly apply the process of adding single digit numbers and arrive at the correct sum

Student cannot correctly apply the process of addition by using the appropriate digits and symbols and does not arrive to the correct sum
Student can correctly set up the problem using the appropriate digits and symbols but does not arrive to the correct sum
Student can proficiently apply the process of addition by correctly setting up the problem using the appropriate digits and symbols and arrives at the correct sum


Correctly apply the process of subtracting single and double digit numbers and arrive at the correct sum
Student cannot correctly apply the process of subtraction by using the appropriate digits and symbols and does not arrive to the correct answer.
Student can correctly apply the process of subtraction by setting up the problem using the appropriate digits and symbols but does not arrive to the correct conclusion
Student can proficiently apply the process of subtraction by setting up the problem using the appropriate digits and symbols and arrives to the correct conclusion.





Example Assessment

NAME

Select the best answer.

1.     What is addition?  Please select the best answer.
a.     A process of taking one number away from the combined total.
b.     A math process
c.      Finding the total of two or more numbers combined together.

2.     What is the sum?
a.     Only a few
b.     The answer of adding two or more digits together
c.      One of the numbers that you add

3.     What is subtraction?  Please select the best answer.
a.     A math process
b.     The process of taking one number away from the combined total
c.      Finding the total of two or more numbers combined together
4.     Please select the symbol for addition.
a.     =
b.     +
c.     
5.     Please select the symbol for subtraction.
a.     +
b.     =
c.     
6.     Please select the symbol for equal.
a.    
b.     +
c.      =

Please fill in the blanks of the correct number in the sequence.

7.     1 ____ ____ 4 ____ 6 ____ ____ ____ 10 11 ____ ____ ____15 16 ____ ____ ____ ____

Please solve the following math problems.  Please show your work

8.     Add 1 and 3


9.     Add 4 and 4

10.  Add 3 and 7

11.  Add 9 and 9

12.  Add 10 and 6

13.  Add 2 and 4 and 8

14.  Add 3 and 9 and 6

15. Add 8 and 9 and 4

16. Add 6 and 4 and 7

17.  Subtract 4 from 8

18. Subtract 2 from 5

19. Subtract 7 from 19

20.  Subtract 4 from 15


21. Subtract 10 from 20

22. Subtract 1 from 19 and then subtract 4 from that answer

23. Subtract 5 from 16 and then subtract 7 from that answer

24. Subtract 10 from 20 and then subtract 3 from that answer

25. Subtract 9 from 17 and then subtract 4 from that answer

Testing Constraints

This exam will be given a time limit of an hour for completion.  The learning and instruction time will be spread out over a two week period at an hour at a time for each instruction.  References will not be utilized throughout this exam and calculators will not be allowed because the focus is understanding the process and being able to do it without any tools.  Throughout the instruction, students will be able to ask questions and work in groups to solve addition and subtraction problems but when the exam is given, the students will be required to complete it individually without any help. 

 

Reference

Kubiszyn, T. & Borich, G. D. (2010), Educational testing and measurement: Classroom application and practice (9th ed.). United States: John Wiley and Sons, Inc.