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# Professional Development

• Hands-on, minds-on mathematical investigations
• Connection with current math education research and standards
• One-day or multi-day sessions
• Customized for instructors of ABE, pre-adult secondary ed, and secondary mathematics classrooms, including alternative high schools, college developmental programs, workplace, and correctional settings

# Workshop Offerings

Data and Graphs
Participants collect, organize, and represent data using frequency, bar, and circle graphs. They use line graphs to describe change over time. They use benchmark fractions and percents and the three measures of central tendency—mode, median, and mean—to describe sets of data.

Geometry and Measurement
Participants explore the features and measures of basic shapes. They describe shapes verbally using informal language and gradually acquiring more formal terminology. They use spatial reasoning to solve problems. Perimeter and area of two-dimensional shapes and volume of rectangular solids provide focus.

Proportional Reasoning
Participants use various tools—objects, diagrams, tables, graphs, and equations—to understand proportional and nonproportional relationships and learn which tools are most useful in particular situations. Participants have opportunities to explore situations when direct proportion is applicable and those when it is not.

Fractions, Decimals, & Percents
Participants focus on the concept of fractions as representations of part/whole relationships. This opens the door for them to compare fractional quantities and make useful estimations about the size of amounts in a wide array of real-world situations.

Number & Operation Sense
Participants are introduced to research on how students develop facility with rational numbers and how to develop visual models for operations with fractions, decimals, and percents.