Grant Sander is a researcher and curriculum developer with special exGrant Sander is a researcher and curriculum developer with special expertise in designing innovative online instructional support materials. He teaches math and preservice teacher courses at ASU and has been involved in leading numerous professional development workshops for both secondary and undergraduate instructors. He has studied theoretical mathematics and is a self-taught web developer who leverages research on students’ mathematical learning of key concepts to design and research online instructional materials.  His online materials are engaging and showing dramatic gains (as compared to traditional instruction) in student learning of key ideas that are foundational for calculus.pertise in designing innovative online instructional support materials. He teaches math and preservice teacher courses at ASU and has been involved in leading numerous professional development workshops for both secondary and undergraduate instructors. He has studied theoretical mathematics and is a self-taught web developer who leverages research on students’ mathematical learning of key concepts to design and research online instructional materials.  His online materials are engaging and showing dramatic gains (as compared to traditional instruction) in student learning of key ideas that are foundational for calculus.

Alan O’Bryan is a Senior Research Analyst in the School of Mathematical and Statistical Sciences at Arizona State University. He is a co-author on the Pathways curriculum materials, CEO of COSma Learning, Inc., and a former high school teacher with Gilbert Public Schools in Arizona. Over the past 10 years Alan has led professional development workshops for thousands of mathematics teachers across the nation. His workshops are most noted for their effectiveness in helping teachers acquire deep understandings and connections among key concepts of precalculus level mathematics. Teachers who attend his workshops acquire knowledge and methods for realizing dramatic increases in their students’ learning. Prior to his current position at ASU Alan was a professional development leader and taught secondary mathematics in Gilbert Public Schools. Alan has conducted classroom research and is currently investigating student learning of online instructional materials.

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Dr. Carlson is currently a professor in the School of Mathematical and Statistical Sciences and Director of Research Innovations in Mathematics Education at Arizona State University. Her current National Science Foundation (NSF) funded research project is developing and studying interventions and instructional resources to improve mathematics teaching and learning in undergraduate transition courses in mathematics.

Dr. Carlson was the Coordinator of the Mathematical Association of America’s (MAA) Special Interest Group for Research in Mathematics Education, and co-edited the MAA Volume, Making the Connection: Research to Practice in Mathematics Education. She received an NSF CAREER award to study student learning in calculus and has been continuously funded by NSF to conduct research on teaching and learning of precalculus and beginning calculus. In 2007 she received the MAA Selden Award for Research in Undergraduate Mathematics Education, and in 2013 she received the Outstanding Doctoral Mentor award at Arizona State University.

Dr. Carlson has served as Director of First-Year Mathematics at the University of Kansas and Arizona State University, and led the development of a Ph.D. concentration in mathematics education in ASU’s School of Mathematical and Statistical Sciences. She is the author of more than 60 published research papers. Dr. Carlson served on a National Research Council panel investigating advanced mathematics and science programs in U.S. high schools, and has participated in policy deliberations at state and national levels. Dr. Carlson has been an invited speaker at numerous international conferences, is a consultant to peer universities seeking to improve undergraduate programs in mathematics; has traveled to study school mathematics as practiced in China, Japan, and Singapore and is engaged in national efforts to improve U.S. programs that educate and support teachers.

is the  President of Rational Reasoning.  He is a systems and applications programmer and an expert in data base management. He is the lead web designer and developer for Rational Reasoning and the Pathways course materials.  He is also the Director of Customer Services for Rational Reasoning.  His academic background is in aerospace engineering and he is a self-taught web developer and programmer.