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Agenda & Goals • Review training & implementa;on plan • Review Singapore Math Pedagogy • Inves;gate Grade Speciﬁc Strategies
Math Pedagogy Jerome Bruner’s research proved that instruc;onal strategies build understanding for students when they move from… • Concrete (manipula;ves) to • Pictorial (visual models or drawings) to • Abstract representa;ons (numbers, symbols)
Math Pedagogy Richard Skemp’s research proved that for long term learning to occur rela(onal understanding is more successful than instrumental learning. Rela(onal Understanding Instrumental Understanding Conceptual Procedural WHY before HOW How One to One Correspondence Oral Coun;ng Quan;;es and Values Wri;ng numbers, Spelling numbers Each piece RELATES to all others Isolated steps or steps without meaning Reading with understanding Phone;c or word calling
Math Pedagogy Zoltan Diene’s research proved that children gain the most conceptual understanding when they are exposed to a concept through a variety of materials or experiences. Perceptual Variability ? q! ;! p! /! " 10
Reﬂec;ng On Pedagogy Turn and Talk: Summarize each of these with your group. Concrete‐Pictorial‐Abstract (Bruner) Rela;onal Understanding (Skemp) Mul;ple Representa;ons (Dienes)
Dyscalculia These students see numbers as ﬁxed and solid. 7 Other students see numbers as breakable. 6,1 5,2 4,3
Math Strategies & Materials Anchor to 5. Bonds to 5.