Kristi Kafka

Nationally Certified School Psychologist

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Math Interventions

 

Manipulatives

Students with lesser developed cognitive abilities often benefit from manipulatives.  Manipulatives are concrete objects such as:

blocks

geometric shapes (for use with classification or patterning tasks)

counting cubes or beads

base-ten blocks (for representing and performing operations on multidigit numbers)

fraction pieces

 

Pitfalls to manipulatives

Potentially confusing, especially if presentation is disorganized or lacks appropriate guidance  (guide use and allow opportunity for practice)

May be source of distraction (if so, consider using  visual or pictorial representations)

 

Teaching operations involving whole numbers

Use objects that are uniform

Use objects that accurately represent base-ten relationships (ie:  a "ten" should be ten times as big as a "one")

Use a mat for organizing manipulatives and for children to work on - organized from right to left to reflect the way numerals are written

 

Source:  www.ldonline.org

 

Articles

Components of Effective Mathematics Instruction, by Louise Spear-Swerling (2005) http://www.ldonline.org/article/5588

National Council of Teachers of Mathematics Position Statements - http://www.nctm.org/about/content.aspx?id=6330

K-12 Mathematics Benchmarks - http://www.utdanacenter.org/k12mathbenchmarks/

Flashcard creator - http://www.aplusmath.com/Flashcards/Flashcard_Creator.html

Math activities/games - http://www.mathplayground.com/index.html

Big Ideas in Early Mathematics Assessment - http://www.nasponline.org/publications/cq/mocq383math.aspx

Research-based Instruction (page 6/Table 2 offers recommendations) - http://ies.ed.gov/ncee/wwc/pdf/practiceguides/rti_math_pg_042109.pdf