STRENGTHENING STUDENT EDUCATIONAL OUTCOMES Mathematics Menu of 2020 Best Practices and Strategies Mathematics: Menu of Best Practices and Strategies 2020 Authorizing legislation: RCW 28A.165.035 Gayle Pauley, Assistant Superintendent, Special Programs and Federal Accountability Jon Mishra, Director, Title I, Part A/LAP Prepared by: Annie Pennell, LAP Program Supervisor Joshua Lynch, Student Discipline and Behavior Program Supervisor Sheila Gerrish, LAP Program Supervisor [email protected], 360-725-6100 Table of Contents Welcome ....................................................................................................... 1 Background and Philosophy ....................................................................... 3 Strengthening Student Educational Outcomes ...................................................................... 3 Learning Assistance Program ................................................................................................... 4 LAP K–4 Focus on Literacy ................................................................................................................................. 4 LAP Eligibility........................................................................................................................................................... 4 Behavior Services ................................................................................................................................................... 4 LAP-Allowable Activities ..................................................................................................................................... 5 Readiness to Learn (RTL) — Up to Five Percent ........................................................................................ 5 Academic Readiness............................................................................................................................................. 5 Washington State Institute for Public Policy (WSIPP) .......................................................... 7 Integrated Student Supports ................................................................................................... 8 Integrated Student Supports in Washington State .................................................................................. 8 Core Components of the WISSP...................................................................................................................... 8 References ................................................................................................................................................................ 9 Multi-Tiered System of Supports .......................................................................................... 10 Multi-Tiered System of Supports ................................................................................................................. 10 Core Instruction .................................................................................................................................................. 11 Tiered Supports ................................................................................................................................................... 12 System of Assessment ...................................................................................................................................... 13 Data-Based Decision-Making Teams .......................................................................................................... 17 References ............................................................................................................................................................. 18 Implementation ......................................................................................... 19 Background, Research, and Implementation Fidelity ......................................................... 19 Active Versus Passive Implementation ....................................................................................................... 19 Implementation Science .................................................................................................................................. 20 Plan, Do, Study, Act ........................................................................................................................................... 20 District And Building Resources For Implementation ......................................................... 22 Content Philosophy (WA State Mathematics) ........................................ 25 Vision of Mathematics Education ................................................................................................................ 25 i Focus, Coherence, and Rigor ......................................................................................................................... 26 Mathematics Teaching Practices .................................................................................................................. 27 High Leverage Teaching Practices ............................................................................................................... 28 Early Numeracy ................................................................................................................................................... 28 K–2 Readiness ...................................................................................................................................................... 29 References ............................................................................................................................................................. 31 Instruction and Interventions......................................................................................................................... 32 Depth of Knowledge ......................................................................................................................................... 32 Curriculum of Supplemental Services ......................................................................................................... 33 Intervention Materials ...................................................................................................................................... 33 Resources .............................................................................................................................................................. 34 References ............................................................................................................................................................. 34 Classroom Centered Practices in Mathematics .................................................................... 37 Culturally Responsive Teaching .................................................................................................................... 37 Teacher and Student Relationships ............................................................................................................. 38 Developing a Growth Mindset ...................................................................................................................... 38 Academic Language .......................................................................................................................................... 39 Cross-Curricular Teaching Practices ............................................................................................................ 43 Mathematical Representations and Manipulatives ............................................................................... 43 Mathematically Productive Instructional Routines ................................................................................ 44 Games ..................................................................................................................................................................... 47 Technology ........................................................................................................................................................... 48 Math Smarter Balanced Assessment, Lap Eligibility, And Lap Student Data Reporting .. 49 Smarter Balanced Assessment System ....................................................................................................... 50 Multiple Measures of Assessment for LAP ............................................................................................... 51 Smarter Balanced Assessments: LAP Student Eligibility and LAP Student Data Reporting ... 52 Mathematics Menu .................................................................................... 54 Overview .................................................................................................................................. 54 Mathematics Menu at a Glance ............................................................................................. 56 Student-Centered Practices and Strategies .......................................................................... 57 Double Dosing (Middle and high school students only) .................................................................... 58 Summer School/Programs .............................................................................................................................. 62 Tutoring by an Adult ......................................................................................................................................... 66 ii Tutoring by a Peer ............................................................................................................................................