## Curriculum / Tools

## Math Strategies

### Curricular Tools

The future NLET envisions is one in which every person who wants one has a universal transcript that securely transcribes formal and informal learning, work history and social identity.

NLET bases this work on what we call Learner Identity which we are seeking funds to study, determine open standards and build pilots to be tested by high school and college students and adult learners.

**Computational Thinking**

*Thinking About Thinking Computationally, *James J. Lu, George H. L. Fletcher, ACM 2009

Northwestern University Computational Thinking Site (2016)

Carnegie Mellon University Computational Thinking Site (2012)

*Computational Thinking, *Presentation Jeannette Wing, Microsoft Research

National Science Teachers Association Site (2016), *Using Mathematics and Computational Thinking*

**Math Visualization, Pattern Recognition, Programming**

Works of Ferdinand Rivera, PhD, San Jose State University

*The Visualization of Mathematics: Towards a Mathematical Exploratorium,* Richard S. Palais, ACM 1999

*Initialization in Scratch: Seeking Knowledge Transfer*- Franklin, D., Hill, C., Dwyer, H., Iveland, A., Hansen, A., Harlow, D.,
*Proceedings of the Symposium on Computer Science Education (SIGCSE)*, SIGCSE 2016, Memphis, TN, March 2016.

**Reference Papers**

**Approach: Computing math **

*The United States has a math problem that isn’t getting solved, and programming, a sure path to employment, is not part of mainstream curriculum.*

NLET believes that programming, and pre-Algebra math learning in grades 4 through 7, should be combined so that students are actually programming their basic math concepts. By doing so, how algebraic operations occur should become clearer to students while they are also being introduced to programming in a curricular context.

Computational thinking is quickly evolving as the combination of how to formulate problems, the methods to solve the problems and the active process of solving the problem in concrete and repeatable ways. Computational thinking, whether conducted by a person or a program, is generally algorithmic.

**Focus: “xyzMath”**

*NLET and a top team of math educators, programmers and employers are determined to develop a strong bridge between elementary school Math and middle school Algebra to build a firm foundation for math success and an integrated approach to early programming. *

NLET is forming a team of academics, programmers, product developers and marketing and distribution partners to determine the best aspects of the math curriculum to focus on, and to test and develop early technology that can survive the many changes in app development. The team will also create a formal or informal curricular path for introducing the math + programming = understanding equation into after-school programs, online supplementary education, and for integration into the classroom.

**Current Activity: Forming the team**

NLET is evolving this conversation with input from advisors in the California State University system, from the University of Chicago and the Silicon Valley programming community. The conversation will be expanded beyond this group to include larger technology companies and government agencies that have high demand for mathematical and programming skills in their organizations.

**Current Objectives: Raise beta funds**

The intent is to create a browser-based system that is a new and relevant way to bridge basic math to algebra. It is well known that algebra is one of the leading factors linked to high school and higher education dropout rates. The lack of this knowledge ultimately deprives students of career options and the U.S. of analytic capability. The initial curricular, learning and technical definition and specifications for a 1.0 of xyzMath will require a $250,000 investment to build a working proof of concept and to engage teachers, math educators and student for their feedback

**Computational Thinking**

*Thinking About Thinking Computationally, *James J. Lu, George H. L. Fletcher, ACM 2009

Northwestern University Computational Thinking Site (2016)

Carnegie Mellon University Computational Thinking Site (2012)

*Computational Thinking, *Presentation Jeannette Wing, Microsoft Research

National Science Teachers Association Site (2016), *Using Mathematics and Computational Thinking*

**Math Visualization, Pattern Recognition, Programming**

Works of Ferdinand Rivera, PhD, San Jose State University

*The Visualization of Mathematics: Towards a Mathematical Exploratorium,* Richard S. Palais, ACM 1999

*Initialization in Scratch: Seeking Knowledge Transfer*- Franklin, D., Hill, C., Dwyer, H., Iveland, A., Hansen, A., Harlow, D.,
*Proceedings of the Symposium on Computer Science Education (SIGCSE)*, SIGCSE 2016, Memphis, TN, March 2016.