Aha Moments About Manipulatives

There has been some discussion lately among my coworkers regarding manipulatives.  It has been a delimma for many teachers as to when to "take away the tools."  As we dive into our new standards we no longer have to feel this pressure.  Our standards clearly outline what students should be using when solving addition, subtraction, mulitiplication or division problems.  For example, in first grade students should be able to solve problems using "concrete materials" using numbers up to 20.  This means allow them to use manipulatives, yes even on the TEST! :)  Follow your standards if you aren't sure.   For me, these standards have given me the permission to do what my students have been showing me that they needed. 
Aimee

negative numbers in first grade

As in most math classes, our class counts everyday in some way. In first grade counting by tens starting at any number is a skill that has to be mastered. This is one way we count everyday. We count forwards and backwards by tens, and when we end they always tell me the NEGATIVE NUMBER!! For example, 112, 102, 92, 82, 72, 62, 52, 42, 32, 22, 12, 2, -8. Yes, they figured it out for themselves based on their knowledge of making ten. With this being said, the video I posted uses this negative number knowledge to solve subtraction. This is much more "real life" than borrowing. It is a great way to give them some background knowledge before we actually expect them to have a full understanding of negative numbers. Another great experience in the minds of first graders! Aimee

Non traditional subtraction

The first part of the video shows an interesting way to teach subtraction. It is important for educators to introduce various methods of solving problems. This is one way that may seem odd to some, but I think it is fabulous! The second part of the video turns more traditional in my opionion. However, I thought the beginning was worth sharing. Aimee

Multiplication strategy

Retrieved from themathpage.com

Although I teach first grade, for the last three years I have taught third grade.  While teaching third grade I was compelled to find alternative ways of teaching addition, subtraction, multiplcation, and division.  My coworkers and I received AMSTI training and used the resources provided with this training.  I was so incredibly impressed with how these alternative teaching methods affected me, I had to dig deeper for my students.  The new math standards were actually welcomed by those of us who saw the benefit in teaching multiples strategies as we learned with our AMSTI training.  This image demonstrates one "alternative" strategy that really seems to make sense of the algorithm for multiplication that I was taught as a young student. 

Aimee

This week we have worked on solving story problems.  I have learned how to articulate my questioning without actually giving the answer.  In recent conversations with coworkers, one of the keys that has been identified with these new standards is appropriate questioning.  It is truely an art.  It has to be develped through great effort.  As I teach various strategies for solving problems, I am learning how important it is to facilitate the learning rather than simply showing one way to do things.  This enables the learner to create meaning rather than just accept it. 

Have a great weekend!
Aimee

Another great week with my first grade mathematicians!  Implementing the Common Core is sometimes frustrating, mostly due to our primary resource (our textbook).  This week I just relied on my brain and the standards alone.  The purpose of the standards is to go deeper with knowledge and achieve MASTERY of the concepts.  I really had to take a step back this week and just do what I thought was right.  It has paid off.  It is amazing how children think.  You can learn so much by simply watching, providing guidance, and creating a safe environment for sharing strategies. 
Aimee

This week we started working specifically on the various types of word problems outlined in Appendix A of the new standards.  Wow!  Kids are so smart.  It is so amazing how they can figure things out when we allow them the opportunity.  Don't be afraid to just use the examples given and go with it.  Let them just try to solve it and share strategies to wrap up the lesson.  I will add some examples later this week to show what my smart kiddos can do.

Aimee