### D - 1 **Appendix D** District/School Memorandum of Understanding (MOU) This letter will be modified slightly to serve as the school MOU as well.

### D - 2

<Enter Date> Dr. <Insert Last Name Here>, Title School or District Address Re: Memorandum of Understanding for Participation in 4 th Grade Fractions PD study. Dear Dr. <Insert Last Name Here>, We are excited about working with <Name of District> to offer teachers a professional development (PD) opportunity focused on math fractions called Developing Mathematical Ideas (DMI) at no monetary cost to the district. The DMI program is designed to develop teachers’ knowledge of the formal mathematics that underlies fractions, improve their teaching practice, and increase their students’ mathematic s achievement in fractions. We believe DMI would be a valuable addition to the PD opportunities available to teachers in <Name of District > . In this time of financial constraints and increased accountability, the Fractions PD study offers a no - cost opportunity for districts to provide teachers with greater mathematics knowledge with the goal of improving mathematics instruction and hopefully student achievement. The study will be conducted by Dr. Russell Gersten, a renowned educational researcher, Professor Emeritus of Educational Research at the University of Oregon, and Director of Instructional Research Group in Los Alamitos, California. This document outlines an agreement of the roles and responsibilities between Instructional Research Group and ______________________

__ ____ _______ School District regarding the evaluation of the Developing Mathematical Ideas (DMI) professional development in Fractions. The study is being carried out under a contract between the United States Department of Education, Institute of Education Sciences and REL Southeast at Florida State University (FSU) . Instructional Research Group (IRG) is a subcontractor to FSU. The district is also acting as a full partner in this research. Details of the study not elaborated upon here are provided in a sep arate Frequently Asked Questions (FAQ) document. The following sections list the roles and responsibilities of the research team and the district. Itis intended to facilitate communication throughout the study by establishing clear expectations for both partners in advance. **General Administration**
____ We will communicate with district leaders and school board , as requested to explain the study. ____ We will help district leadership communicate the study opportunity to school leaders and their teachers.
____ We will meet with principals and teachers as requested to explain the study and their role, and to obtain their consent.
____ We will assign one person as your contact for this study.

### D - 3

**About the Professional Development**
____ The Developing Mathematical Ideas program unit focused on f ractions is a concentrated professional development effort designed to develop teachers’ knowledge of the formal mathematics that underlies fractions, improve their teaching practice, and increase their students’ mathematic s achievement , specifically in fractions.
____ The Developing Mathematical Ideas (DMI) program is outlined in the book, 

### Making meaning for operations in the domains of whole numbers and fractions: Facilitator’s guide ( DMI; Schift er, Bastable , & Russell, 20 10 ).
____ All participating fourth grade teachers, who work in schools assigned to the DMI program, will meet eight times during the Fall semester for 3 -hour PD sessions near their school site, with a facilitator at a time that is scheduled in advance. Teachers will also be assigned homework exercises between each of the PD sessions, each will take about 3 hours to complete. ____ All participating teachers (DMI and c ontrol ) will be expected to complete a pre -test and a post -test of mathematics knowledge and monthly PD logs . They must allow study staff into their classrooms to test their students in the spring . **Your Role**

____ Facilitate the enrollment of schools and teachers into the study.
____ **Understand that school assignment to the DMI and control**  **condition s**  **must be completed at random**  **.**

____ Facilitate the scheduling of DMI sessions .

____ Facilitate the scheduling of student assessments in the spring .

____ Facilitate our data re quest for student demographics and prior year assessment scores . ____ Allow our field coordinators to contact schools and teachers as needed for successful implementation.

____ Understand that no findings from the study can be released immediately. All analyses and the final report must be approved for public release by the Institute for Education Sciences to ensure it meets the highest standards. This process can take 1 - 2 years after the completion of data collection. **Implementing the Study**
____ After school leaders have signed their MOU and teachers have signed their consent forms , participating schools will be randomly assigned to the Experimental condition (4 th grade teachers participate in DMI) and the c ontrol condition (4 th grade teachers participate only in regular PD).
____ We will schedule testing/sessions/training to fit school and district schedules.
____ All teachers will complete pre - and post -tests of teacher knowledge. ____ All teachers will complete brief monthly PD logs.
____ Developing Math ematical Ideas professional development sessions will be tape -recorded to help the research team determine fidelity of implementation.
____ Each participating school should use the same core mathematics program.
____ Schools will distribute parent permission forms to all students of participating 4 th grade classrooms. All students whose parent or guardian has given permission for the student to participate in the study, will be administered a mathematics assessment in the spring . The research team will administer these assessments.

### D - 4

____ Teachers may get credit for this professional development if the district determines that DMI qualifies.
____ We will need class rosters and possibly a letter of support for communicating with parents.

____ School and p articipating student demographic data will be collected from the school/district database (e.g., free/reduced lunch; ELL status; ethnicity).
____ Schools/school districts will assist in obtaining parental permission for fourth grade students from partic ipating schools. **Our Commitment**
____ We will pay all control and DMI teachers $ 150 for their participation in the study.
____ Teachers in experimental schools will receive the professional development materials provided by the developers of the Develop ing Mathematical Ideas program . ____ Data will only be used for the purposes of this study. Results will not be added to student or teacher files.
____ Information collected for this study comes under the confidentiality and data protection requirements of the Institute of Education Sciences (The Education Sciences Reform Act of 2002, Title I, Part E, Section 183). Responses to this data collection will be used only for statistical purposes. The reports prepared for the study will summarize findings acros s the sample and will not associate responses with a specific district, school, or individual. We will not provide information that identifies you, your district or your school to anyone outside the study team, except as required by law. I understand that I can contact my study representative or the Principal Investigator to seek further assistance if questions arise.

_________________________ ___________ District Representative Date

_________________________ ___________ IRG Representative Date We appreciate your participation in this important research study . Please contact our study manager, Christopher Tran, at ctran@inresg.org or (714) 826 - 9600 if you would like more information. Sincerely, Russell Gersten, Ph.D. Principal Investigator Director, Instructional Research Group & Professor Emeritus, University of Oregon