K-12 Teaching and Learning From the UNC School of Education

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From the education reference

discrete mathematics
A branch of mathematics that focuses on the study of objects and ideas that can be divided into separated or discontinuous parts.
problem centered mathematics
Student-centered mathematics instruction that uses problem solving as a means to discovery of mathematical procedures and emphasizes real-world applications to mathematical concepts.

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Problem centered math
Why students must build their own understanding of mathematics if they are to be able to use it in the real world, and how teachers can guide them in doing so.
Format: series (multiple pages)
Math Common Core resources
This edition contains resources for teachers, administrators, and parents to learn more about the implementation of the Common Core Mathematics Standards.
Format: lesson plan (multiple pages)
Integrating Chemistry and Algebra II
This unit links chemistry concepts to algebra II skills. Students will use systems of equations to solve problems and matrices to balance chemical reactions.
Format: lesson plan (multiple pages)
Mother Goose in use: Rhymes that teach
This collection of kindergarten lesson plans uses classic nursery rhymes to teach curriculum objectives in math, English language arts, science, and healthful living.
Format: (multiple pages)
CareerStart lessons: Grade eight
This collection of lessons aligns the eighth grade curriculum in math, science, English language arts, and social studies with potential career opportunities.
Format: (multiple pages)
Learning progressions
In Math Common Core resources, page 1.2
In describing the development of the standards, William McCallum, Math Team Coordinator for the Standards, says: The Common Core State Standards in mathematics were built on progressions: narrative documents describing the progression of a topic...
Format: bibliography
By Kay Middleton.
Preservice teacher education resources
Educational resources for preservice teachers taking methods courses.
Format: (multiple pages)
Math for multiple intelligences
How a middle-school math teacher realized she was boring and jump-started her career — and her students — by using thematic planning, emphasizing problem solving, and teaching to multiple intelligences.
Format: series (multiple pages)
Implementing the Common Core State Standards for Mathematics in Grades K-5
In this webinar, Dr. Kay Ringer, Assistant Professor of Mathematics Education at Eastern Carolina University, shares resources and strategies for understanding, implementing, and communicating with administrators and parents about the Common Core Math Standards.
Format: video
By Kay Middleton.
General resources for working with the CCSSM
ACRE information from NC DPI This link takes you to the North Carolina Department of Public Instruction (NC DPI) Accountability and Curriculum Reform Effort (ACRE) page...
Format: bibliography
CareerStart lessons: Grade seven
This collection of lessons aligns the seventh grade curriculum in math, science, English language arts, and social studies with potential career opportunities.
Format: (multiple pages)
Understanding data mining: Extracting, organizing, and analyzing large sets of data
Mathematics students in grades nine through twelve will be able to extract useful information from large sets of data that represent multiple disciplines. Using these real-world applications, students will analyze data and use their findings to make predictions and to provide solutions to problems.
Format: lesson plan (multiple pages)
Map skills and higher-order thinking
This series of articles looks at map skills as a kind of visual literacy, considering what maps are, how they're made, and the higher-order thinking skills students need to move from simply decoding maps to fully comprehending them.
Format: series (multiple pages)
Common Core State Standards: Mathematics
Format: (multiple pages)
A mathematical model to describe fluid behavior
Middle school students will learn how to use math to model and predict natural phenomena. Through hands-on labs, students will explore the behavior and effects of fluid in and around objects and organisms. Students will investigate and create fluid transport systems and gather data to calculate natural frequencies. Using scale models to gain a better understanding, they will use data to predict real-life effects on trees and other structures.
Format: lesson plan (multiple pages)
CareerStart lessons: Grade six
This collection of lessons aligns the sixth grade curriculum in math, science, English language arts, and social studies with potential career opportunities.
Format: (multiple pages)
Quick Draw
In Problem centered math, page 2.3
An engaging math activity that helps students develop and talk about spatial reasoning.
Format: activity
By Grayson Wheatley.
Assessment
In Math Common Core resources, page 1.3
Five state-managed assessment consortia were awarded grants by the U. S. Department of Education in 2010 and 2011. The two Comprehensive Assessment consortia, two Alternative Assessment consortia, and one English Proficiency Assessment consortium are currently...
Format: bibliography
By Kay Middleton.
I’m on a diet and proud of it: Nutrition through math and science
In this unit, students will be involved in hands-on, inquiry activities that integrate various subject areas in order to learn and apply concepts of food chemistry and nutrition.
Format: lesson plan (multiple pages)
Critical areas explained
The Common Core State Standards for Mathematics identify Critical Areas for each grade level which describe two to four big ideas at that grade level. Educators can use the Critical Areas to focus the work students do in the classroom and to make instructional decisions.