The school year is in full swing in my neck of the woods and we have been hard at work doing assessments, setting up groups and even getting some teaching in!
My second graders have been looking at addition and subtraction strategies for facts to 20. One of my top priorities for this unit is making sure kids are solid with combinations of 10 by the middle of the unit. Without being solid with combinations of 10, some of the most efficient strategies for the facts between 10 and 20 are much more challenging for kids to develop. We talk about the friends of 10 from the first day of the unit and incorporate games like make 10 go fish, flip and write, pyramid, and popper cups. My second graders are getting really good at these! This morning, I was thinking they all seemed fluent but I wanted a quick way to check without another formal assessment. Today I was using One Big Pair of Underwear to introduce the difference model for subtraction. Kids already had out white boards, makers and erasers. As I was finishing up the whole group lesson and transitioning to math station and guided math groups, I had kids quickly write down as many of the friends of 10 that they could think of in 1 minute. This let me see who was really fluent and to make sure there were not kids who were looking at other kids boards to get the answers. For the most part, kids were very quick and the wandering eyes didn't happen until kids were done or close to it. It was interesting to see which kids organized their equations and which kids wrote equations in a seemingly random way.
To finish this up and give kids one more chance to practice combinations of 10, we watched this Friends of 10 song and as each combination of 10 appeared on the screen, they erased that combination on their board. This made them really pay attention to the song and gave them one more chance to practice. I am so pleased with the progress my second graders have made in this area and am looking forward to seeing them use this skill to develop other strategies!
How are your students doing with fact fluency? How are you doing at finishing up those beginning of the year assessments? Please respond in the comments below or head over to my Facebook page to leave your thoughts!
Welcome to our second week of looking closely at math workshop. Get more details about my math workshop book study here . Deep Versus Shallow Math In this week's reading, I was struck by the difference between deep and shallow math. Here are some characteristics of each type of math. Shallow Math - Memorizing algorithms - Applying an algorithm (usually a word problem found on the bottom of a page full of practice for that algorithm. - Hunt & copy exercises - Plug and chug numbers - Not considering what the numbers mean - About covering the content - Teacher gives out knowledge Deep Math - Engaging, exciting, exhausting & inspiring - Pushes learners out of their comfort zone - Mental models - An understanding of a concept that can be built upon later - Discourse - Challenging tasks - Students wrestling to make sense - Content understanding - Teacher as a facilitator of learning When I was in elementary and middle school 99% of the math I did would be classified...
Welcome to week 2 of our Mathematical Mindsets book study ! Last week , we looked at the latest in brain research and talked about the importance of mistakes and struggle. Chapter 3: The Creativity and Beauty in Mathematics Big Ideas - Math gets treated differently than other subjects. It is much more of a performance subject than any other. -There is a big gap between real world mathematics and school mathematics - Students (and the public in general) see math as calculations, rules and procedures rather than creative and beautiful. Impact in the Classroom Fibonacci Numbers and the Golden Ratio One of the examples given in this chapter was about taking a look at the Fibonacci numbers and the golden ratio with kids. I have always loved this series of numbers and many years ago was given a copy of Fascinating Fibonaccis which I have now used many times to talk with kids about Fibonacci numbers. I also love the picture book Rabbits Rabbits Everywhere ...
What an exciting week for back to school! A few weeks ago, I wrote about making magnetic counting strips and using paper clips to do a variety of early numeracy activities. That post has been super popular and shared many, many times! As I continue to revisit ideas from Teach Like a Pirate my creativity has been great and I have really been trying to think outside the box. Today I want to share with you how I have taken the same sticks and gone to the next level for mathematical thinking and worked with combinations of numbers. Here are the original counting sticks. You can see how I used them, what materials I used and find directions for making these here . So here is the difference. I made the sticks exactly the same way but instead of making the numbers 1-9, I made the numbers from 5-10. For each number, I made at least 3 sticks. I still had plenty of colored sticks left from my box of 500 and I grabbed a...
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