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Hattie (2009) talks about anything more than 0.4 effect size having accelerated student learning.
Using the I do, we do, you do model is 0.57 in effect size! You know you're doing the right job in SMA then!
This is evidence based and a critical action for educators in the classroom. The rest of this paper shares many more evidence based priorities, interventions and supports.
Principles of instruction: 10 research-based strategies that all teachers should know (Rosenshine, 2012)
This offers a comprehensive synthesis of research sharing foundational strategies that enhance teaching and learning! This poster representation is a 'prettier' version of all the research Rosenshine shared, created by Jamie Clark.
Lizzie from Everyday shared this reading with me which is a short but powerful one. Cognitive Load Theory is all around the theory of how the human brain learns and stores knowledge. It talks about cognitive overload and how that can happen for a student; and how explicit models of instruction support cognitive load theory.
Number sense noted by Jordan, Devlin and Botello (2022) is to be the weaved understandings of number, number relations and number operations. Showing how important it is that students are developing and building their fluency to be able to prepare children for success.
When students have fluency with a foundational aspect of mathematics, that foundation is related to later mathematics performance, being drawn upon to have fluency and understanding.
Building number sense and fluency are built into SMA, to build on those opportunities to develop knowledge, repeated learning experiences to become fluent and lay a strong foundation of skills to be built upon!
Gradual Release of Responsibility
This image comes from the Curriculum, Pedagogy, Assessment and Reporting framework from Northern Territories but unpacks how explicit teaching and gradual release of responsibility can align together to support you in the classroom.
This has great prompts for teachers and how you can address each part of the gradual release of responisbility.
Explicit Instruction
Another great visual to summarise Archer and Hughes (2011) about explicit instruction to help teachers create outcomes that direct, engage and are success orientated.
The key takeaways are definitely around an explicit lesson structure with teacher modelling, guided practice and unprompted practice. This is where the I do, we do and you do gradual release of responsibility comes in as well as teachers and students:
- work through those clear modelled think alouds
- to a guided practice with scaffolds to build success
- and opportunities to review
CPA Approach
CPA approach was created by Jerome Brunner in 1966. It focuses on scaffolding students through concrete, pictorial and abstract learning to use effective representations and connect with learning.
The key takeaways for the CPA approach is that students need to have exposure to all three at a variety of times. These link nicely with the gradual release of responsibility and also interweave with using Structured Maths Approach. Like anything, students need to work through new learning in multiple ways which Structured Maths Approach supports and plans for in its lesson plans.
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