Professional Development for K12 Teachers
The mathematics department is committed to support teachers in their continuous professional development, in particular in aspects related to content knowledge. These workshops are offered with the support of BOCES. Check MyLearningPlan catalog for new offerings. If you are interested in a particular workshop for your school, contact Cristina Gomez (cgomez@ithaca.edu). Here are some of the workshops offered recently.

Workshop for middle school, December 11, 2013
Expressions and Equations
Presenters: Ted Galanthay, John Maceli, Cristina Gomez
This oneday workshop for middle school teachers will focus on the Expressions and Equations domain across grades 6 to 8 from the Common Core State Standards for Mathematics. Using the Progressions document as a guide and materials from the modules, we will review some of the terms and concepts needed to expand the work from elementary school into these grade levels. The process of generalizing understandings developed in arithmetic to algebraic expressions is at the center of the work in grade 6. Applying properties of operations when working with algebraic expressions and using these expressions to solve reallife and geometryapplication problems is the main focus in grade 7. Finally, in grade 8, students apply the skills they acquired in Grades 6 and 7, with respect to symbolic notation and properties of equality, to transcribe and solve equations in one variable and then in two variables.
 Workshop for elementary teachers, October 9, 2013
Developing understanding of fractions
Presenter: Cristina Gomez
This oneday workshop for elementary (15) teachers will focus on exploring the ways that students develop understanding of fractions. Following results from research on children’s thinking, we will study the types of problems and the types of strategies that support the development of meaning for fractions. At the same time, we will investigate the use of relational thinking to promote algebraic thinking in early grades. All these ideas align with the recommendations from the Common Core. Finally, we will use Okidoku puzzles to support the development of fluency when working with fraction in later grades. These puzzles are easy to create and easy to differentiate according to your students’ needs.
 Workshop for middle school teachers, May 10, 2013
Model with mathematics
Presenters: John Maceli, Cristina Gomez
This oneday workshop for middle school teachers will focus on model with mathematics. As one of the mathematical practices, model with mathematics includes processes and proficiencies that students need to experience while learning the content. In particular, this practice refers to students’ ability to use symbols and tools to represent realworld situation s and to move fluidly between different representations based on the questions they are trying to answer. The intent of this practice is to provide students with opportunities to make assumptions and simplifications of complicated realworld situations, to use mathematics to solve realworld situations, and to routinely interpret their mathematical results in the context of the situation. In this workshop, teachers will experience the process of modeling with mathematics exploring realworld problems. We will review the modeling process, the different types of mathematical models, and the process of constructing a model. Finally, we will explore the characteristics of authentic tasks and strategies to bring outofschool situations closer to the mathematical world of the classroom.
 Workshops for math teachers, February 8 and 22, 2013
Professional Learning Communities and Mathematical Practices
Presenters: John Maceli, Cristina Gomez
This oneday workshop for k12 teachers will address the implementation of the Common Core Standards for Mathematical Practice. The practices provide a vision of what the daily instruction should look like in a math classroom, describe what kind of activities the students are doing, how they are interacting with the tasks and with other students, what kind of processes and proficiencies the students need to experience, and what the students need to demonstrate to show mastery of the content. Developing these practices is not an easy task and it is a new challenge for many mathematics teachers. Through wellchosen activities and guided discussions, we will study the practices and how they relate to the work of professional learning communities. Many schools are using the PLCs as a form of professional development. During the workshop we will explore the kind of questions that group of teachers should discuss with their collaborative teams to advance the work on the practices for all students in your building. We will stress the habits of mind that need to be developed so that both, students and teachers, see that reasoning and sensemaking are central to the study of mathematics at all levels. Finally, we will explore some assessment tools to understand how the practices look in the students’ work.

Workshops for middle school math teachers
Probability and Statistics in middle school
Presenter: John Maceli, Cristina Gomez
November 2, 2012
This workshop is an opportunity to continue the discussion that has been going on between middle school teachers about the Common Core Standards with a particular emphasis on the Statistics and Probability domain recommended for the 68th grade level. Activities are designed to actively engage teachers in the Probability and Statistics content standards with attention to the mathematical practices. The prominent role of statistical reasoning in the middle school curriculum requires teachers to provide opportunities for making sense of data, understanding variation, developing statistical reasoning, and understanding connections between probability and statistics. All these issues are explored in this workshop. 
Workshops for middle and secondary math school teachers
Teaching Mathematics with GeoGebra
Presenters: David Brown & Dani Novak
October 18, 2012These workshops are designed to introduce participants to GeoGebra, freely available dynamic software that combines the power of geometric visualization with algebraic manipulation. Two morning workshops demonstrate the functionality of the software and how to apply the abilities of GeoGebra to actual classroom activities. In the afternoon, participants develop their own interactive GeoGebra worksheets for activities that they can use in their own classes. To learn more about GeoGebra visit the website http://www.geogebra.org/cms/.
 Workshop for elementary teachers
May 21, 2012Understanding addition and subtraction
Presenter: Cristina GomezIn early grades, addition and subtraction compose a major area of school mathematics and the foundation for other important topics in later years. The different types of problems involving addition and subtraction are reflected in the way children think about and solve these problems. During this workshop we explore a classification scheme focused on the actions and relationships described in the problems. We also look at the children’s solution strategies and how they evolve over time. These solution strategies are closely related to the types of problems. We explore in this workshop how the mathematical practices develop while working with addition and subtraction situations.
OkiDoku Puzzles
Presenter: Dani NovakOkiDoku puzzles are mathematical activities that can add both skill and fun to teaching math in a classroom. The puzzles teach number sense and help develop intuitive feeling for numbers. They also enhance and develop logical thinking and reasoning. The puzzles are very easy to understand and yet the level can range for a vast rainbow of needs: From children who have little number sense to children who are very good at math. In this workshop we introduce the OkiDoku puzzles and show how the teachers can create their own too. We also explore what mathematical practices are involved in working with these puzzles.

Workshops for elementary teachers
January 19, 2012Number and operations
Presenter: Emilie WiesnerNumber and numeration are central to children’s early mathematical work and lay the foundation for more advanced mathematical thinking. In this workshop we develop our own number systems and use them to reflect on the standard number system. This give participants an opportunity to explore the conceptual challenges that a student may face in coming to understand number representations, as well as the structural features that make our number system powerful.
Algebraic thinking in elementary grades
Presenter: Cristina GomezDeveloping algebraic thinking is one of the main goals for school mathematics. The Common Core Standards include Algebraic Thinking as a focus topic in every grade from Kindergarten to 8^{th} grade. In this workshop we explore some of the algebraic ideas that have their roots in the work we do in early grades. Teacher’s understanding of these big ideas benefit students in different ways. Opportunities for generalizations, justification and use of different representations are present throughout the mathematics curriculum in elementary grades.

Workshops for middle and secondary math school teachers, January 19, 2012
Changes driven by CCSSM
Presenters: Eric Robinson, David Brown & John MaceliThe transition to the NYS Common Core State Standards in Mathematics is not intended to be simply a cross walk to the next list of content topics that will be used as a new basis for conventional endofcourse high stakes testing. Rather, the intent is to transform the mathematics curriculum into a more coherent and focused school program that addresses mathematics both as a body of knowledge and a way of thinking. Correspondingly, state level student assessments will be expected to address higher level objectives. The three workshop sessions in the secondary strand for this worshop focus on some of the changes in topical content and content perspective, changes in student expectations and learning outcomes, and the effective use of technology implied in the new Common Core Standards.