Discovering Advanced Algebra
An Investigative Approach

Frequently Asked Questions

Q. What will my teaching look like with Discovering Advanced Algebra? How is a class period structured?

Discovering Advanced Algebra is based on a pedagogy of discovery, hands-on learning, and rich use of technology. Students will have access to graphing calculators almost every day, and many times they?ll sit in groups. In a typical day, you may start with a warm-up, or by going over the homework. Then you?ll spend 15?30 minutes doing an Investigation, in which students will work together to discover some aspect of the mathematics of the lesson. Sometimes an Investigation will involve students getting out of their seats and performing an experiment to gather data, and then they might study properties of the data and develop a model for it. In other Investigations, students graph different equations or perform a variety of calculations using their graphing calculators, then look for patterns and make conjectures about mathematical properties. After an Investigation, students may present their results, you might conduct a class discussion to elicit what students learned, or you may summarize the mathematical topics of the lesson. You?ll then work through a couple of examples of how students might apply their new mathematical knowledge, or you might show them a formula or procedure that applies to the math they?ve been exploring. You may have time for students to start working on homework in class, utilizing the support of their group members.

Q. How much cooperative learning do I have to do if I use Discovering Advanced Algebra?

To maximize the potential of Discovering Advanced Algebra, you should incorporate group work and cooperative learning almost every day. This curriculum, and its Investigations in particular, are designed to take advantage of group discussion and multiple students? perspectives. Students will learn best if they discuss what they are discovering, learning, or practicing. The Investigations include step-by-step instructions for easy use. The introduction to the Teacher?s Edition provides concrete strategies for how to implement cooperative learning and the wrap-around teacher notes provide ongoing support for effectively using groups.

Q. Is Discovering Advanced Algebra aligned to my state?s standards?

Yes. See your state?s resource webpage for a correlation of Discovering Advanced Algebra to your state?s standards. Click here and select your state.

Q. What technology is required to teach Discovering Advanced Algebra?

Students must have graphing calculators available in class. The text lists the homework exercises that require graphing calculators, so you can assign these exercises for classwork if students do not have access to graphing calculators at home. (Calculator Notes are provided for several different models.)

Resources are also provided to help you use The Geometer?s Sketchpad®, Fathom, and CBRs (Calculator-Based Ranger). These additional technologies are optional.

Q. What if a student is absent and misses the day?s Investigation or group work?

Condensed Lessons are available in English and Spanish to help students who miss a day of class or need extra support. These worksheets summarize the topics of the lesson, provide additional examples, and describe what students learned from the day?s Investigation.

Q. How do I use Discovering Advanced Algebra with my diverse student population?

Research shows that a curriculum that embeds multiple instructional strategies, including inquiry-based with integrated technology, engages and reaches the widest range of learners. Students who start at varying skill or interest levels have the opportunity to become involved and contribute?to start where they are and move forward. By introducing topics through a student-centered investigation, the curriculum provides a common foundation upon which students of varying backgrounds can build their understanding and knowledge.

Plenty of additional resources support teachers as they work with a broad range of students, too?the wrap-around Teacher?s Edition provides detailed suggestions on modifications that can be provided for different classes and students, from the most struggling to the most advanced. Condensed Lessons provide brief summaries that can help absent students with make-up work and parents and tutors who are supporting students. More Practice Your Skills worksheets support students by providing additional review and practice. Technology enhancements such as the Dynamic Algebra Explorations at math.kendallhunt.com/DAA give students a dynamic view of various mathematical topics.

Advanced students have access to many supplemental challenges and extensions, including puzzles that are provided for many lessons. Projects and Explorations offer opportunities for all students to investigate additional topics, while Take Another Look exercises at the end of each chapter extend concepts for students who wish to delve deeper.

Q. Is Discovering Advanced Algebra research-based?

The pedagogy and guiding principles of Discovering Advanced Algebra are rooted in research about how students learn best, and many of the investigations and exercises in Discovering Advanced Algebra were extensively classroom-tested before publication. The curriculum that is the foundation of Discovering Advanced Algebra was developed and evaluated under a grant from the National Science Foundation. For documentation, contact Kendall Hunt Publishing.

Q. What resources are available for parents?

At math.kendallhunt.com/DAA, parents can find information about the discovery approach and suggestions about effective ways to work with students. For each chapter, there is a content summary and a chapter overview problem. Additionally, parents and tutors can download Condensed Lessons in English and Spanish, More Practice Your Skills worksheets, Calculator Notes, and Calculator Data and Programs. This website also has student web links and Dynamic Algebra Explorations.

Q. What resources are available for teachers?

The Teacher?s Edition and Teaching Resources Set provide comprehensive teaching support.

Additionally, professional development can be arranged to maximize the success of implementing this curriculum.

Q. Can I use a CBL (Calculator-Based Laboratory) or CBR (Calculator-Based Ranger) with Discovering Advanced Algebra?

Yes. Several investigations in the book make use of CBRs or CBLs (though alternatives are provided for classes that don?t have access to these technologies).

Q. What technology can I use with Discovering Advanced Algebra?

Graphing calculators are used almost daily in Discovering Advanced Algebra. We also provide resources to help you use The Geometer?s Sketchpad, Fathom, CBRs (Calculator-Based Ranger), and CBLs (Calculator-Based Laboratory). These additional technologies are optional. Several Investigations in Discovering Advanced Algebra incorporate CBRs or CBLs, and several Projects and Explorations make use of The Geometer?s Sketchpad or Fathom (available separately). The Discovering Advanced Algebra website, math.kendallhunt.com/DAA, has web links and Dynamic Algebra Explorations, which help students interactively explore mathematical topics. And Technology Demonstrations gives additional activities for teaching concepts with the support of The Geometer's Sketchpad and Fathom Dynamic Data.

Q. Is math used in context in Discovering Advanced Algebra?

Yes. Much of the mathematics in Discovering Advanced Algebra arises as students work with real data, or as they investigate real-world problems. And, exercise sets are rich with application problems, where students can flexibly apply the algebra they?ve learned.

Q. How does Discovering Advanced Algebra prepare students for state exams?

Discovering Advanced Algebra supports deep understanding of the mathematical concepts, which is the best preparation for any exam. And the investigations and exercises that students do provide both plenty of practice with skills and opportunities for flexible application of mathematics in new ways. Several resources are provided to help your students practice specifically for standardized tests: Discovering Mathematics Standardized Test Preparation contains practice quizzes and tests, and TestCheck: Test Generator and Worksheet Builder allows teachers to create worksheets and assessments in a variety of styles, including multiple-choice.