Language

There are two broad considerations when planning support for the English language development (ELD) of students who are multilingual learners (MLs) within general education mathematics lessons in the United States. As we wrote about in Part 1 of this blog series, the first consideration is to understand and articulate mathematics language expectations for your students. Second—and the focus of Part 2 in this post—is to determine whether and how to adapt an individual lesson so your students meet those language expectations along with the associated mathematics content objectives. A language-focused version of the Math for All lesson adaptation process can act as a springboard for the co-development of language and mathematics.
Read more
As math teachers, when we are serving students from different countries—those whose parents studied outside of the U.S., or those for whom English is a second or additional language—we should take time to orient ourselves to their background knowledge and assets. It is through a growing understanding of who they are, and the resulting dialogue, that we can honor the “funds of knowledge” they and their families contribute to our educational system and to our math classrooms.
Read more

Every math classroom is filled with students who have different strengths, experiences, and learning needs. While research-based math intervention strategies are designed to support students who may struggle, these same practices can also strengthen learning for all students.

This blog post explores two powerful practices that can help students deepen their understanding of mathematical concepts: building mathematical language and using models and manipulatives (also known as representations). Language and representation might seem distinct at first, but in reality, they are constantly interacting. When students are explaining their ideas aloud or showing their thinking by using models, language and representations work together to help students make sense of math.

Read more

[T]here is frequently more to be learned from the unexpected questions of a child than the discourses of men, who talk in a road, according to the notions they have borrowed and the prejudices of their education.

—John Locke, Some Thoughts Concerning Education, 1693

When John Locke wrote these words at the close of the seventeenth century, the world was in the midst of the Enlightenment and change was in the air. Mary and Edward Clarke, Locke’s friends and fellow aristocrats, began seeking his advice on educating their eldest son, who was not having much success with what was then considered a typical education for boys of his class. Locke’s advice was long and specific, but he elevated virtue, a love of learning, and practicality above all. He warned the Clarkes that any tutor they found for their son should “not so much to teach him all that is knowable, as to raise in him a love and esteem of knowledge.” Locke also spoke of a child’s curiosity and how to “keep it active and vigorous” through acknowledging and answering their questions and taking seriously that which interests them. By the end of the eighteenth century, Locke’s influence on educational theory was well known and well regarded.

Read more
Word problems can be confusing. Period. They can be set in an unfamiliar context. They can include superfluous information. They can contain ambiguous language. They can be written to trick or confuse. They can be overly complex. Here’s an example that meets a few of these criteria:

The pet store sells crickets for lizards. They charge $3.65 per two-dozen crickets, but right now they are offering a 15% discount on any purchase over $40. What will be the total cost for 276 crickets if there is a 6% sales tax?

Read more
Skip to content