# Author Archives: Elin Anderson

### Meeting Students Where They Are

As an educator, it was frustrating when my grade level standards stated that all my students need to be at point X by the end of the year, but in my classroom, I had a room full of students ranging from point A to point Z. The research we have been studying points to a clear developmental trajectory that students go through to develop an understanding of the concept of number.  By attending to students’ thinking in mathematics, we can understand where they are in this trajectory and provide the most beneficial experiences to help them progress to a deep understanding of the concept of number. We need to meet students where they are in this development no matter what grade level they are enrolled. The video highlight this week reminds us of this.

The video is composed of three segments (students in kindergarten, first and second grade) adding eight and four. The first clip is of two kindergarten students engaged in playing a game where they have to find out many pennies are in the piggy bank. They have two cards in front of them with the numerals four and eight on them. The little girl uses her fingers sequentially to count from one to eight and then can extend her count four more to end at 12. The second clip is of a 1st-grade student in a small group explaining how he solved joining four and eight. The students have cards with numerals on one side and the same number of “worms” on the other side so they can count and check. The boy had the numeral eight and four in front of him. The teacher asks him to share how he solved the problem. He showed her a finger pattern for eight and then counting four more sequentially on his fingers and ends at 12. The last video clip is of second-grade students engaged in a task where they are given a card with pictures of an amount of candy. They have to count the amount and put that many “candies” (blocks) in a bag, then they roll a die to that has numerals on it to determine the amount in the second bag. They do not count out any blocks and have to solve for how many “candies” there are in both bags. In this example, both students count from one on their fingers to solve the problem.

Even though these students are in three different grade levels, based upon what we see in the video, they are essentially in the same place in their development of understanding number. Regardless of the student’s grade, the teachers presented the student with tasks that are within their reach and knows what questions to pose to push them a little further. The video validates the need for teachers to differentiate instruction for students based on knowledge of where they are at based on classroom observations. How do you differentiate instruction for your students based on their needs? We would love to hear from you.

### Worth The Wait

As educators, we have all heard of the benefits of wait time after you ask students a question. In this video, you will see proof of it.  At the beginning of our pilot with K-2 teachers we shared many student videos and, although they noticed a lot of student’s math behavior, they also noticed how… Continue Reading

### That Moment You Realize…

Have you ever had one of those “aha!” moments when the light bulb goes off, and you come to understand something that makes your whole life easier? Or better yet as a teacher, you witness your students have one of those “aha!” moments. For us, at the AIMS Center for Math and Science, we have… Continue Reading

### Creating Centers in the Classroom – Part 3

This blog is the third part of a multi-part series titled “Creating Centers in the Classroom.” If you’ve missed the previous installments, you can read part 1 HERE and part 2 HERE. As we start the new school year, many teachers will try to create an engaging learning environment that meets the needs of all… Continue Reading

### Counting is Fundamental to Mathematical Reasoning

As I write this, The AIMS Center for Math and Science Education is in the final stages of planning and preparing for the kick-off of our pilot program with Kindergarten through Grade 2 teachers. We will start with a week of professional learning this summer. In the midst of synthesizing all that we have been… Continue Reading

### Putting the Cart Before the Horse (Mathematically Speaking!)

In my experience as a teacher, I had many students that were learning English as a Second Language (EL). Maybe this is your experience as well, or you may have had the experience of trying to learn a second language yourself. When introducing new vocabulary around a concept, I would tap into to students background… Continue Reading

### Recognizing Is Not The Same As Understanding

My previous blog post, “Sharing can be Rigorous Work!”, I shared that part of the work we have been doing in the last few months investigates how students develop fractional reasoning based on the work of Dr. Les Steffe. When I taught 2nd grade under the previous California Standards it included exposure to fractions where… Continue Reading

### Manipulatives as Thinking Tools

As the school year winds down, at the AIMS Center we too are wrapping up our work with students.  The tasks we asked second and third graders to engage in this year had students working with various manipulatives (cubes, blocks, bags, strips, etc). This made me think about Math Practice 5: Use appropriate tools strategically.… Continue Reading

### It’s Just an Art Lesson…or the Best Math Lesson Ever!

In my last blog post I wrote about how the sharing activity we are engaging second and third grade students with, although seemingly very simple, is actually very rigorous. In my observations I have been amused by how fascinated and excited the students are to be doing something where they are allowed to use glue… Continue Reading

### Sharing Can be Rigorous Work!

The term “rigor” has been highlighted in education since the Common Core Standards have been adopted. The Common Core Standards have been deemed to be more rigorous and, therefore, students should be engaged in more rigorous lessons. What does it look like for students to be engaged in a rigorous task? Especially in the K-2… Continue Reading