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Common Core Lessons and Curricular Materials
Formative Assessment, Student Thinking and Problem-Solving Tasks
This is a growing project developed with adult education math teachers across New York State who are trying interesting and non-routine math problems with HSE students of all levels, collecting student work and writing up how everything went.
The link above will take you to:
- the growing collection of interesting problems to try with HSE students of all levels
- the set of questions to help you create your own write-up of interesting problems you do with your own students
- the growing collection of teacher write-ups (including samples and descriptions of HSE student work)
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A few words on the Common Core lessons and curricula below: All of the materials below were created for students in the K-12 system. That means that adult literacy teachers will need to adapt the materials. We hope that this website will be a resource for teachers to share successes they have using these materials with adult students. Please comment on resources you try and what works and what doesn't in the comment box at the very bottom of the page.
- NRICH - NRICH promotes the learning of mathematics through problem solving. This site provides engaging problems, linked to the curriculum, with support for teachers in the classroom. At NRICH, they believe that:
- Our activities can provoke mathematical thinking.
- This can lead to conjecturing, explaining, generalizing, convincing and proof.
- In a classroom, the students' role is to focus on the mathematics while the teacher focuses on the learners.
- The teacher should aim to do for students only what they cannot yet do for themselves.
- The Mathematics Assessment Project - The Mathematics Assessment Program (MAP) aims to bring to life the Common Core State Standards (CCSSM) in a way that will help teachers and their students turn their aspirations for achieving them into classroom realities. Classroom challenge problems are at the center of lessons designed to both reveal and develop students’ understanding of key mathematical ideas and applications. They build students’ understanding of important concepts and problem solving performance, and help teachers and their students to work effectively together to move each student’s mathematical reasoning forward. There are both Problem-Solving Lessons and Conceptual Development Lessons. The lessons can be searched by mathematical content, by mathematical practice and by grade level. MAP is a collaboration between the University of California, Berkeley and the Shell Center team at the University of Nottingham, with support from the Bill & Melinda Gates Foundation.
- Lessons for each of the 8 Common Core Standards for Mathematical Practice
- 6-8th Grade Lessons by Mathematical Content. Each lesson has an initial assessment task, suggestions for assessing student responses, suggested lesson outlines, solutions and sample student responses to discuss.
- "Novice", "Apprentice" and "Expert" Tasks for Middle School. Each task comes with a rubric for scoring student work and samples of student work.
- MARS Tasks - These formative performance assessment tasks are from the Mathematics Assessment Resource Service (MARS), a project of UC Berkeley, Michigan State, and the Shell Centre in Nottingham England. The MARS assessment tasks target grades 2-8 and each task comes with a rubric. High school courses have also been added.
- Inside Mathematics - Explore lessons and tasks you can use immediately with your students. Inside Mathematics has aligned their tasks and assessment resources with the Common Core State Standards for Mathematical Content. Note that you can search the tasks by grade level as well as by content.
- Dan Meyer's Three-Act Math - This link takes you to a spreadsheet of lessons developed by Dan Meyer.
- Each lesson is in three acts
- Act One: Introduce the central conflict of your task clearly, visually, viscerally, using as few words as possible.
- Act Two: The student overcomes obstacles, looks for resources, and develops new tools.
- Act Three: Resolve the conflict and set up a sequel/extension
- Here's a link to Dan Meyer's blog where he explains his three-act approach to mathematical tasks with students
- Authentic Inquiry Maths - A blog written by Bruce Ferrington, a middle school math teacher in Australia. The site has some really great open-ended, non-routine problems that are searchable by content area.
- Illustrative Mathematics - This website allows you to search the Content Standards for "illustrations" - examples of problems and mathematical tasks that students should be able to do in order to develop or demonstrate their understanding of each standard. For adult numeracy teachers and students, we recommend looking at the K-8 standards first, and specifically the 6-8th grade standards and their illustrations.
- EngageNY - This part of the EngageNY site has some Common Core Curricula for Mathematics. This is not one large scale curriculum, but rather learning modules and exemplars. They are developing and posting new stuff fairly often. Here's a sample of their offerings:
- LearnZillion - Over 2,000 lessons built by teachers, connected to Common Core Content Standards for Mathematics. Videos break down content, talk about common student misconceptions and are available as slides with extension problems and quizes. You can also set up a class, invite your students to the site, and check on their progress.
- Mathalicious - Math is about more than just numbers and equations. Math is a tool to explore the world around us, and that’s exactly what Mathalicious does. Mathalicious provides teachers with lessons that help them teach math in a way that engages their students–in a way that helps students understand how the world works. Lessons are aligned to Common Core Standards.
- Strategic Education Research Partnership (SERP) - Tools to help teachers with sense-making in mathematics. Materials include Using Problems to Understand Mathematics, Lessons for Diagnostic Teaching, Developing Specialized Teacher Knowledge, Tools for Observing. And definitely take a look at Phil Daro's recommended resources.
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NYC DOE Common Core Library: Tasks, Units & Student Work - NYC educators and national experts are developing Common Core-aligned tasks embedded in a unit of study to support schools in implementing the Common Core. Educators may choose to adopt these resources in their entirety or adapt the materials to best address students’ diverse needs. Search a growing assortment of Common Core-aligned tasks, units and student work by keyword, grade level, subject area and Common Core Learning Standard. The components of the Common Core-aligned tasks with instructional supports include: Unit overview and task description; Teacher-annotated student work representing a range of performance levels; Rubrics used to assess student work; Universal Design for Learning (UDL) principles; Other instructional support materials
This site was developed by Jo Boaler, the Stanford Professor who taught a recent MOOC called, "How to Learn Math". The site features a growing list of interesting and engaging videos and tasks, aligned to the Common Core Math Standards. The site also plans on featuring math problems sent in by today's innovative companies, detailing math they had to solve at work (the first submission was from Google).
Common Core Lessons and Curricular Materials
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