Curriculum Progressions and Instructional Delivery

Deciding what to teach is only part of the planning. Teachers must think about how the material can best be learned for deep understanding and why it should be connected to other math concepts and real-life experiences.

These mini-courses and workshops delve deeply into mathematics content, with a focus on processes and practices, problem solving, and a vertical progression of content strands.

Small-Group, Differentiated Learning Stations: Teach and Reach Every Student!
Early Foundations of Mathematics
Top Ten Strategies for Successful Problem Solving
Math Power from Singapore: Stimulating Math for All!
High-Stakes Math Assessments: Think! Reason! Justify!
Place Value and Number Sense
Operation Sense and Computational Power
Fractions and Decimals: Concepts and Operations
Differentiate with Higher Order Thinking Questions
Motivate Students with the Mathematical Practices
The Common Core State Standards: Key Shifts

 


Small-Group, Differentiated Learning Stations: Teach and Reach Every Student

Small group instruction provides the opportunity to challenge all students at their best level of instruction. This fun-filled, productive day provides the knowledge and tools needed for a vibrant, engaging, differentiated classroom. You choose the topic and grade level or grade level span, and a large collection of games and centers will be provided for perusal, play, and replication. Your small group instruction will be ready for learners at all levels, and you will be ready for immediate implementation.


Early Foundations of Mathematics

This three-day, completely interactive workshop series introduces Pre-K and K teachers with the early foundations of mathematics. Number sense is defined in the first session, and participants explore several activities designed to build number sense in young children. The concepts of addition and subtraction take center stage in the second workshop as participants define and explore more than a dozen unique structures to make sense of the operations. The final workshop builds on the first two sessions as participants explore number patterns and early concepts related to place value.


Top Ten Strategies for Successful Problem Solving

Problems with problem solving? It may be a comprehension issue. In this completely interactive workshop, we explore auditory and visual strategies focused on the problem's situation. Through reading comprehension strategies, vocabulary development, the use of graphic organizers, and several other strategies, participants learn how to transform all of their students into successful problem solvers. Critical thinking, multi-step, and rigorous problem bank included!


Math Power from Singapore: Stimulating Math for All!

How can Singapore's strategies be successfully integrated into any math program or course of study? In this highly interactive session, you will briefly examine and analyze Singapore's mathematics standards and goals. Next, you explore Singapore's approaches to early number and whole number operations. No pencils and paper required for many of these strategies; you will use manipulatives and tickle your minds with motivating mental math activities. Next, you will learn how to use and teach with bar diagrams, a powerful but simple graphic organizer that focuses attention on problem solving comprehension. Several mind-stretching problems are introduced, discussed, analyzed, and solved. You will leave with concrete strategies and problems to help students enjoy the power of math and deepen their math understanding forever.


High-Stakes Math Assessments: Think! Reason! Justify!

The Common Core Standards for Mathematical Practice describe what mathematically proficient students will do. High-stakes assessments align with the standards, challenging students to think through real-life situations as they apply mathematical concepts to arrive at a reasonable solution, and then justify their responses.

In this interactive, engaging workshop, we’ll analyze released asssessment items and identify strategies for helping students learn how to think through the complex processes of problem solving. This analysis and resulting work produce significant improvements for schools around the country. 


Place Value and Number Sense

Why does place value understanding appear to be so strong, only to weaken over time? Is place value really so critical for students to learn? If so, how can we make sure students conceptually understand it from the beginning?

Through an investigative study of place value, teachers will be armed with an arsenal of tools for teaching deep understanding. You will explore engaging investigations; rich explorations; rigorous, open-ended questions; and collaborative games. The end result is a more complex understanding of our base-ten number system and myriad strategies for helping students see its power.
 


Operation Sense and Computational Power

This entirely interactive session focuses on making sense of how whole number operations are affected by the base-ten place value system. Engage in simulations that lay the groundwork for connecting whole number operations and place value as specified in the Common Core State Standards and the Progressions documents. Explore mental math methods that build fluency and further deepen understanding. Leave with concrete strategies for increased efficiency and understanding that will pay off for students throughout their math educations.


Fractions and Decimals: Concepts and Operations

Too many students are locked out of higher math because of a defiency in fraction concepts. In this entirely interactive workshop, examine and analyze the progression of fractions as specified in the Common Core State Standards. Engage and explore an assortment of hands-on, minds-on activities and lessons for teaching fractions concepts in elementary and middle grades. Topics include the relationship between the size and number of units in one whole, fraction equivalence, comparing and ordering fractions, fraction operations, and problem solving. A section will also be devoted to fraction applications such as time, money, and measurement. All explorations incorporate higher level thinking questions, engagement structures, and technology connections.  


Differentiate with Higher Order Thinking Questions

How does differentiated instruction look in the mixed ability classroom? How can higher order thinking questions be used to differentiate instruction? In this completely interactive workshop, we begin by discussing the work demands of the 21st century and the need for creativity and critical thinking. You will analyze the new version of Bloom's Taxonomy in search of tools for nurturing higher level thinking, and discuss how differentiated instruction is attainable through discoveries and activities involving higher order thinking. Using the Common Core Standards or your State Standards as content points, you will evaluate questions for their relevance and complexity--and identify specific traits of a higher-order thinking question. Finally, you will write critical thinking questions for their own specific needs that will be accessible to all students and that will stimulate students' creativity and individuality. The workshop emphasizes the relationship of differentiated instruction and higher order thinking questions, and utilizes classroom management techniques and cooperative learning structures that foster interdependence, teamwork, and resourcefulness. 

Recommended book: Higher Level Thinking Questions in Mathematics (Kagan, Silbey) and Higher Level Thinking Questions in Secondary Mathematics (Kagan, Silbey) © 2005 Kagan


Motivate Students with the Mathematical Practices

Infants learn how to crawl and walk almost independently. What happens to that intrinsic, natural curiosity to learn? It’s still there! Just watch any student with a new cell phone to see self-motivation in action. Whether or not your students’ intrinsic motivation emerges depends on whether the conditions around them support it. In this highly interactive workshop, you will connect the Common Core State Standards for Mathematical Practice with intrinsic motivation and mindset. Collaborative explorations, simulations, and a variety of other activities provide you with concrete examples of how to inspire all of your students to become motivated math learners.


The Common Core State Standards: Key Shifts

In this interactive workshop, you will analyze the Key Shifts for the Common Core State Standards. An assortment of research-driven resources will provide infinite opportunities to enrich your existing content. Through a variety of explorations, investigations, and activities focusing on content standards specificaly suited for your coursework, you will experience how focus, coherence, and rigor become daily practice.