Showing posts with label Mathematics. Show all posts
Showing posts with label Mathematics. Show all posts

Shortcuts: Division


Teach the student these shortcuts to help with basic division.


Type: Student Strategy


Procedure:
(1) When zero is divided by any number, the answer is zero.
(2) When a number is divided by 1, the answer is the original number.
(3) When a number is divided by itself, the answer is 1.




Research Citation: Miller, S.P., Strawser, S., & Mercer, C.D. (1996). Promoting strategic math performance among students with learning disabilities. LD Forum, 21(2), 34-40.




Shortcuts: Mulitplication


Teach the student these shortcuts to help with basic multiplication.


Type: Student Strategy


Procedure:
(1) When a number is multiplied by zero, the answer is zero.
(2) When a number is multiplied by 1, the answer is the original number.
(3) When a number is multiplied by 2, the answer is equal to the number being added to itself.
(4) The order of the numbers in a multiplication problem does not affect the answer.




Research Citation: Miller, S.P., Strawser, S., & Mercer, C.D. (1996). Promoting strategic math performance among students with learning disabilities. LD Forum, 21(2), 34-40.



Shortcuts: Subtraction


Teach the student these shortcuts to help with basic subtraction.


Type: Student Strategy


Procedure:
(1) When zero is subtracted from the original number, the answer is the original number.
(2) When 1 is subtracted from the original number, the answer is the next smaller number.
(3) When the original number has the same number subtracted from it, the answer is zero.




Research Citation: Miller, S.P., Strawser, S., & Mercer, C.D. (1996). Promoting strategic math performance among students with learning disabilities. LD Forum, 21(2), 34-40.

Shortcuts: Addition


Teach the student these shortcuts to help with basic addition.


Type: Student Strategy


Procedure:
(1) The order of the numbers in an addition problem does not affect the answer.
(2) When zero is added to the original number, the answer is the original number.
(3) When 1 is added to the original number, the answer is the next larger number.




Research Citations: Miller, S.P., Strawser, S., & Mercer, C.D. (1996). Promoting strategic math performance among students with learning disabilities. LD Forum, 21(2), 34-40.

Peer-Guided Pause


During large-group math lectures, teachers can help students to retain more instructional content by incorporating brief Peer Guided Pause sessions into lectures.


Type: Core Instruction


Procedures:
(1) Students are trained to work in pairs. At one or more appropriate review points in a lecture period, the instructor directs students to pair up to work together for 4 minutes.
(2) During each Peer Guided Pause, students are given a worksheet that contains one or more correctly completed word or number problems illustrating the math concept(s) currently being reviewed in the lecture. The sheet also contains several additional, similar problems that pairs of students must work cooperatively to complete, along with an answer key.
(3) Student pairs are reminded to (a) monitor their understanding of the lesson concepts; (b) review the correctly math model problem; (c) work cooperatively on the additional problems, and (d) check their answers.
(4) The teacher can direct student pairs to write their names on the practice sheets and collect the work as a convenient way to monitor student participation and understanding.


Source:

Research Citations: Hawkins, J., & Brady, M. P. (1994). The effects of independent and peer guided practice during instructional pauses on the academic performance of students with mild handicaps. Education & Treatment of Children, 17 (1), 1-28.