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Umland left UNM in 2016 to work full time as vice president for content development at Illustrative Mathematics (IM), a nonprofit company she co-founded with William McCallum to develop and deliver mathematics content for K-12 teachers. She became chief product officer in July 2019. [6] In June of 2020, Umland was appointed as president of IM. [7]
The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.
A typical sequence of secondary-school (grades 6 to 12) courses in mathematics reads: Pre-Algebra (7th or 8th grade), Algebra I, Geometry, Algebra II, Pre-calculus, and Calculus or Statistics. However, some students enroll in integrated programs [ 3 ] while many complete high school without passing Calculus or Statistics.
The initiative began with 265 high schools piloting Illustrative Math for algebra, but many teachers hated the tightly scripted lesson plans, rigid schedule, and requirement that students work in ...
J. C. Maxwell explained how exercise facilitates access to the language of mathematics: [6] As mathematicians we perform certain mental operations on the symbols of number or quantity, and, proceeding step by step from more simple to more complex operations, we are enabled to express the same thing in many different forms.
The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]
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