High cognitively demanding tasks are important for getting students to think mathematically. In order to choose good tasks, I need to know my students and what mathematics they need to learn. In addition, it is critical that I consider sequencing. Many times, it is easy to get lost in helping kids solve problems and think mathematically while losing sight of the bigger picture of what I want them to understand and do. Whatever tasks I choose, I need to consider how they fit in with the “bigger picture” of what I am trying to teach. The Common Core Standards as well as the progressions documents are helpful to consider sequencing. Researchers on Learning Trajectories point out that we need to consider tasks and student thinking in order to adjust our teaching to support student learning. I decided to compile a list of teaching resources here to help with lesson planning. I plan to keep adding to this list over time. Thanks to many people who recommended these sites. This page is organized as follows: Lesson Plans, Common Core Progressions documents and other links for Understanding the Common Core Standards, RTI Resources and State Created Resources for implementing the Common Core. You will need to scroll down this page to find these links.
Mathelicous – real world problems -appropriate for middle school
Yummymath.com provides real world context for problems
Progressions Documents and Understanding the Common Standards
Progressions documents are helpful to understand how the Common Core Mathematics Content standards are organized around “big mathematical ideas.” These documents are helpful for unpacking the Common Core standards, looking at examples and for planning lessons. When teaching the Common Core standards, it is helpful to think about how the math content builds on each other over time. This way, you can easily find gaps in student learning or be able to challenge your students’ learning to the next level. Here is a list of progressions documents and other tools that I found on the web. Please let me know about any other links you find. I will be happy to post them here. Facilitating effective whole class discussions involves understanding the math concepts that students should learn and how they build on each other. Having a clear idea of what you want students to learn helps you pose questions and select tasks that target student learning. This makes teaching more efficient and easier.
This page contains helpful links to the Common Core Standards:
RTI Resources additional help for Students who struggle with mathematics
IRIS Center at Vanderbilt – This website has case studies and resources
The following link was recommended for working with Special education and ELL students:. STERN Math Program
STATE CREATED RESOURCE FOR COMMON CORE
EARLY CHILDHOOD CURRICULUM
MATHEMATICS METHODS TEXTBOOKS
Mathematics methods textbooks are great resources for teachers. They synthesize the research on various math topics. I have found the following textbooks to be helpful for planning and improving teaching.
The methods books answers the following questions:
What does the research say about teaching a particular concepts.
What does the research say about how students think and learn the topic. In addition, it may point out the errors and misconceptions students are likely to make.
Elementary and Middle School Mathematics: Teaching Developmentally This particular edition is written for Pre-service teachers but Teachers who are also teaching have found this book useful as well.
A new set of books were developed that were more grade level specific. (Grades PreK-2, 3-5, 6-8) Teaching Student Centered Mathematics: Developmentally Appropriate instruction. These books are cheaper.
Whole Class Mathematics Discussions book is useful for planning and facilitating the instruction.
- Reflection on 02 (acole1.wordpress.com)
- Top 10 Cool Math Game Sites (americanlivewire.com)
- Lessons are not pizzas (educationalcomics.wordpress.com)
- University of Lancaster Research Shows that Learning with Twig Films Helps Make Science and Math Lessons More Memorable (prweb.com)
- Miriam Sherin: 109 Ways to Celebrate Math Lessons From Dr. Seuss (huffingtonpost.com)
- NCTM, Yes! (nseamster.wordpress.com)