K-5 Math & Science New Teacher Institute Welcome! We re excited to do math & science with you! Please make a name tag with your first name on it!Kimberly Beane K-5 Supervisor of Math & Science Katie Costello email@example.com K-5 Math Specialist 973-769-2413 firstname.lastname@example.org 973-476-8440
Agenda & Goals • Math Learning Diﬃcul7es • Math Pedagogy and Strategies • Math Instruc7onal Formats and Minutes • Math Diﬀeren7a7on and Individualiza7on • Materials, Assessment, Homework • Science Curriculum Overview
Math Learning Diﬃcul7es ✭ The math learning diﬃcul7es you think you will encounter this year Discuss: Which learning diﬃcul7es are “High Impact” on future math learning?
Strategies for Math Learning Diﬃcul7es Select instruc7onal strategies that target “High Impact” math learning diﬃcul7es
Pedagogy: C-‐P-‐A Jerome Bruner’s research proved that instruc7onal strategies build understanding for students when they move from… • Concrete (manipula7ves) to • Pictorial (visual models or drawings) to • Abstract representa7ons (numbers, symbols)
Pedagogy: Rela7onal Understanding Richard Skemp’s research proved that for long term learning to occur rela4onal understanding is more successful than instrumental learning. Rela4onal Understanding Instrumental Understanding Conceptual Procedural WHY before HOW How One to One Correspondence Oral Coun7ng Quan77es and Values Wri7ng numbers, Spelling numbers Each piece RELATES to all others Isolated steps or steps without meaning Reading with understanding Phone7c or word calling
Pedagogy: Perceptual Variability 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 ? z! ;! p! /! " q!
Reﬂec7ng On Pedagogy Select one strategy for addressing math learning diﬃcul7es. Discuss how it connects to Singapore Math Pedagogy… v Concrete-‐Pictorial-‐Abstract (Bruner) v Rela7onal Understanding (Skemp) v Mul7ple Representa7ons (Dienes)
Beginning Look & Say (Math Talk) Count together One to One Corr. Intermediate Student counts Touching objects Transi7oning from manipula7ves Advanced Group similar objects Grouping for coun7ng Making number bonds Challenge Coun7ng beyond pic If one more frog… If one less frog… Making stories
Kindergarten Anchor to 5. Bonds to 5.
K & 1st Anchor to 10. Bonds to 10.
Number Lines make Number Sense[wwwwwwwwwwwwwwwwwwwwww]! y u r!
Composing & Decomposing Numbers
Composing Numbers V! C!
Mental Math Strategies
Place Value Strips 1. Find a partner to compose one of these numbers: 61 42 23 35 14 56 2. With your partner say these about your number: a. ____ tens and ____ ones make _____ b._____ + _____ = _______
Place Value Strips 3. Find another pair to add these numbers mentally: 61 + 35 = 42 + 23 = 56 + 14 = 4. Use the hundreds around the room (and a partner) to make these numbers… 142 361 523 435 614 256
Place Value Strips 5. Come to the front of the room and put the 3-‐digit numbers in order from least to greatest. 6. Find another pair to add these numbers mentally: 435 + 361 = 523 + 142 = 256 + 614 =
C-‐P-‐A & Tradi7onal Algorithms
Base Ten Blocks: + -‐ x ~ Solve these problems using base ten blocks… 267 423 +645 -‐ 265 33 69 ~ 3 = x 4 (3 equal groups)
Place Value Chips: + -‐ x ~ Solve these problems using place value chips… 267 423 +645 -‐ 265 33 69 ~ 3 = x 4 (3 equal groups)
Instruc4onal Minutes Mon. Tues. Wed. Thurs. Friday 60 min. Math Math Math Math Math 60 min. Reading Reading Reading Reading Reading 60 min. Wri7ng Wri7ng Wri7ng Wri7ng Wri7ng 30 min. Sci or SS Sci or SS Sci or SS Sci or SS Sci or SS 30 min. Indiv. Math IMI IMI IMI IMI Instruc7on 60 min. Special Special Special Special Special
Diﬀeren4a4on vs. Individualiza4on 60 Minute 30 Minute Math Lesson Individualized Math Instruc7on Follows curriculum Meets child where he/she is Covers all standards Focuses on founda4onal skills New content Familiar content Similar, 4ered tasks Individualized tasks Same concept for all Concepts individualized
Scoring and Progress Reports
Homework K-‐1 • Number Sense Games or Hands-‐on Tasks • Fact Games • Online Games and Tasks (LiveBinder, Math in Focus) Gr. 2-‐5 • FACT PRACTICE Online Games and Tasks (LiveBinder, Math in Focus) • Extra Prac7ce of what has been taught • Extension word problems of what has been taught • Blackline masters from district instruc7onal materials
Kim’s Math PD Resources Find ALL of Kim’s PowerPoints by searching Kbeane on SlideShare.net. hjp://www.slideshare.net/KimberlyBeane/presenta7ons Find ALL of Kim’s STEM LiveBinders by searching Kbeane on LiveBinders.com hjp://www.livebinders.com/shelf/search_display_author? terms=KBeane Follow Kim’s educa7onal research, policy, and STEM tweets @KimberlyLBeane For STEM updates, PD discussions, and general collegiality friend Kimberly Beane on Facebook