Kristi Kafka Nationally Certified School Psychologist |
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/5588National 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 |