|My Original CEP Post|
Description of Learning Activity
1. Learning Activity Types
2. What mathematics is being learned?
- PS-conceptual understanding
- In “Adding it Up”, a key component of conceptual understanding is being able to represent mathematical situations in different ways. With this tool, students are learning how to look at a numerical expression and represent it in a visual/graphic form. This enables students to manipulate the expression and gain a deeper understanding of key ideas, such as what equality truly means in that they must continually balance their equations.
- PS-procedural fluency
- Students are also working on their basic math with arithmetic and understanding the inverse operations. Students are expanding this knowledge into a variable domain and experimenting with how those operations work with variables. In addition to practicing their arithmetic fluency on these expressions, students are also practicing their substituting and solving skills.
3. How is the mathematics represented?
4. What role does technology play?
- Computing & Automating -
- Representing Ideas & Thinking - This tool is a nice way for teachers to let their students explore multiple representations of algebraic expressions, while providing them with checkpoints and immediate feedback that may not be available to students who are using a more traditional algebra tile manipulative.
- Accessing Information -
- Communicating & Collaborating -
- Capturing & Creating -
While the tool does not provide suggestions via feedback, it does indicate clearly A) that you have made a mistake (ding!) and B) where you made the mistake (turns the box orange). With these features (and the sound on, of course) teachers then can quickly scan the room to see which students are struggling on which types of problems to better address problems as they arise.
5. How does the technology fit or interact with the social context of learning?
This tool is best used as an individual tool, in my opinion, as it is practicing procedures. However, a student could benefit from having an elbow partner to work with by bouncing questions off of one another or checking one another's work, before soliciting a teacher for support. In this way, students would be practicing explaining procedures to one another, strengthening their conceptual knowledge on the subject.