# Collections

Professional Development Collections support the growing needs of elementary educators. These skill and knowledge-building collections are designed around core themes and provide a set of carefully selected resources, teaching supports and a discussion area.
This collection aims to shed light on Practice Standard 2: Reason abstractly and quantitatively, and offers instructional strategies for helping students make sense of quantities and their relationships in problem situations. These resources provide meaningful ways to support children as they learn to represent problem contexts with numbers and symbols, and then re-interpret the numbers and symbols in terms of the original problem. A companion Classroom Collection includes resources to help teachers develop this practice with their students.
This collection assists teachers as they integrate Mathematical Practice Standard 3 into their classroom routines. Encouraging productive student conversations about mathematics builds the foundation that supports this practice. These resources will help teachers learn methods for creating an environment where constructing arguments and critiquing the reasoning of peers is a common occurrence. Additional resources may be found in a companion classroom collection.
This collection supports teachers as they integrate Practice Standard 4 into their classroom routines. In these articles, videos, and lesson studies, teachers will see strategies that help guide students to use concrete, pictorial, and symbolic representations to describe mathematical situations in everyday life. Additional resources for immediate use in the classroom can be found in a companion classroom collection.
This collection of resources supports teachers as they integrate Mathematical Practice Standard 5, Use Appropriate Tools Strategically, into their classrooms. They illustrate strategies that promote student exploration of mathematical tools, increase the accessibility of mathematical tools within the classroom, and encourage students to identify the strengths and limitations of various tools so they can make sound choices. Additional resources for use in the classroom can be found in a companion classroom collection.
Common Core’s Mathematical Practice 6, Attend to Precision, calls for students to be clear in their reasoning, calculation, and communication through the precise use of words, symbols, units of measure, mathematical expressions, and processes. Students recognize various levels of precision and apply them appropriately; they calculate accurately and efficiently. These resources are intended to help teachers and math specialists understand the intent and scope of MP 6 and plan for successful attainment in the classroom. A companion Classroom collection, Implementing CCSS Practice Standard 6, includes resources to help teachers foster this practice with their students.
This collection supports teachers as they integrate Practice Standard 7 into their classroom routines. In these articles and videos, teachers will see strategies that help guide students to look for and make use of structure as they discover and understand mathematical concepts. Additional resources for immediate use in the classroom can be found in a companion classroom collection.
The resources in this collection are intended to help educators understand and implement the eighth Mathematical Practice Standard of the CCSS. You will find informative presentations, lesson plans, and problem sets that will help establish mathematical habits of mind that support this standard. You'll also find many problem tasks for use with students in the companion classroom collection.
This collection of resources is intended to help educators introduce measurement concepts to primary grade students. The resources assist in teaching the concepts of units of measurement, recognizing measurable attributes, comparing sizes, and estimating measurements. Videos, articles, instructor guides, lessons and unit plans are included. More measurement resources can be found in a companion classroom collection and in a second PD collection for grades 3-5.
This collection of resources is intended to help educators develop measurement skills and understanding in mathematical and real-world contexts. The resources assist in teaching selection of unit, comparing sizes, estimating, calculating elapsed time, and measuring length, angle, area, and volume. Resource types include videos, articles, instructor guides, lessons and unit plans. More measurement resources can be found in a companion classroom collection and in a second PD collection for grades K-2.
This collection helps educators determine best practices for developing their students’ geometric thinking about shape and space. The resources include research and expert commentary about children’s capacity for understanding geometric concepts, as well as teaching suggestions and activities that can be used in the classroom.
This collection provides help for teachers striving to create an environment in which students are empowered to collaborate while solving interesting mathematical problems. When students feel safe in trying new techniques, communicate respectfully, and persist in their efforts, they develop behaviors that support their learning. Several videos and articles showcase techniques and strategies that can be used to help teachers develop a productive classroom culture. This collection supports the Practice Standards and the Process Standards.
This collection is the first of a series that addresses the importance of helping students to construct a solid foundation for fractions. Unit fraction, equal shares, partitioning and iterating, identifying and making wholes are presented as appropriate concepts to begin instruction. Resources include several studies with recommendations for best practices and teaching strategies, as well as some virtual manipulatives to aid implementation. The collection also supports specialists and teachers as they explore ways to address common difficulties and misconceptions.
This collection supports teachers as they help children develop fluency with number facts in all four operations. The resources take advantage of patterns and number sense, properties, parity, and other connections, to improve retention and transferability. They encourage reasoning and strategic thinking. Several articles and videos suggest specific activities and games that can be incorporated into classroom routines. A unit of lesson plans helps with addition facts and a series of blog entries includes ideas for teaching multiplication facts.
This professional development collection supports teachers as they learn to use problem solving as a vehicle for teaching mathematics. Resources include video clips from actual classrooms, articles that relate helpful techniques and strategies, and several online courses that help teachers to advance problem-solving with their classes. This collection supports Practice Standard 1 and the Problem Solving Process Standard.
This collection assists specialists and teachers as they work to help children make sense of our number system. Resources include several short video clips showing what students are understanding about place value and their possible misconceptions; some interactive and classroom activities teachers can use to assist children to develop their number sense; a research study from Australia on the use of a Base Ten Game; and links to Place Value FAQs from the Math Forum @ Drexel.
This collection helps teachers understand the difficulties students with disabilities may encounter in the classroom. Teachers will learn to recognize, identify and address the signs of learning struggles. Knowing how various disabilities affect learning helps teachers plan lessons to meet specific students' needs. Supplemental videos, articles, resources, and blogs help educators further understand math and language learning disabilities and provide tips on modifying instruction to foster student progress.
This collection supports teachers working with students with learning disabilities or struggling with math in general. Teachers will find resources to engage learners, strategies to enhance problem solving and suggestions for intervention models. When teachers chose appropriate material and technology that reflects students' abilities and preferences, students have a better opportunity to learn new concepts. Several videos, articles and research reports help teachers with strategies and techniques to reach struggling learners more effectively.
This collection includes resources for introducing both discrete (separate objects) and continuous (area model) arrays to young learners. The resources provide suggestions about how to use arrays to introduce students to ways of organizing collections of objects, to repeated addition, to multiplication, to factorization, and to area. Helping young learners to develop a deep understanding of the characteristics of arrays will provide the foundations they will use when learning about multiplication and division, area measurement, and fractions.
The resources in this collection provide teachers with strategies that can assist them in facilitating productive classroom and small group discussion. Challenges that teachers face are considered, descriptions of the teacher's role are provided, and best practices are discussed and demonstrated. The use of interesting problems and games to promote high quality communication is explored in several related resources. This collection supports the Communication Process Standard.