# Rekenrek Math Talks

Developed by Dutch mathematician, Adrian Treffers, the rekenrek translates to “arithmetic rack” and is a powerful tool for supporting children to build visual models of numbers and develop numerical relationships. Rekenreks feature two rows of ten beads each, comprised of two different colored sets of five. Their structure supports children to develop one-to-one correspondence, anchor quantities to five and ten, and to develop addition and subtraction strategies such as doubles, doubles plus or minus one, making ten, and compensation.

### Starting a Rekenrek Math Talk

There are many ways to use a rekenrek in a Math Talk. Listed below are two possible launching points.

#### Guess My Way:

The teacher and the students each have a rekenrek. The teacher composes a given quantity on her/his rekenrek, concealing the configuration from students. The teacher prompts the class: “Guess my way to make the number __.” Students compose the given number on their rekenrek. The teachers facilitates students to share their ideas with their peers.

#### How Many Beads?

Students usually do not have their own rekenreks to manipulate, although they could. Teacher shows a given quantity on her/his rekenrek and students show thumb up to chest when they have figured out the quantity. The teachers facilitates a discussion about how many beads the class saw and how they saw the beads.

### Considerations when using Rekenreks:

- Set to Start. Teach students how to reset their Rekenreks after each use. The starting position shows all beads to the far right. To construct a number, beads are slid to the left often in groups.
- Experiment with student seating so you can view each student’s Rekenrek while they are working.

### Rekenrek Resources