Developing Mathematical Ideas (DMI) is a professional development programme designed to increase teachers’ knowledge of fourth grade (Year 5) maths fractions and rational numbers with the ultimate goal of improving their pupils’ maths achievement.
A study conducted in the 2014–15 school year, prepared for the Institute of Education Sciences by Madhavi Jayanthi and colleagues at Instructional Research Group and REL Southeast, investigated the effects of DMI on teacher content knowledge and their pupils’ subsequent achievement in fractions. A total of 264 fourth grade (Year 5) teachers in 84 elementary (primary) schools in Florida, Georgia and South Carolina in the US were randomly assigned by school to receive either DMI (n=42 schools, 129 teachers) or their usual professional development programme (n=42 schools, 135 teachers). The 84 schools were matched on grade four enrolment, number of pupils who exceeded fourth grade maths standards, percentage of African American and Hispanic pupils and percentage of pupils eligible for free- or reduced-price lunches. In autumn 2014, DMI teachers received eight three-hour training sessions conducted over four days, followed by homework and concluding with a test on fractions. A total of 4,204 fourth grade pupils’ (2,091 E, 2,113 C) baseline scores on third grade standardised tests were used as a pre-test, because most third graders know little about fractions and the Test for Understanding of Fractions was used as the post-test at the end of the academic year to measure their knowledge gain after their teachers had completed DMI.
Results showed no significant differences between either the DMI or non-DMI teachers’ knowledge of fractions and their pupils’ proficiency in fractions.
Source: Impact of the Developing Mathematical Ideas professional development program on grade 4 students’ and teachers’understanding of fractions (March 2017), US Department of Education, Institute of Education Sciences, National Center for Education Evaluation and Regional Assistance, Regional Educational Laboratory Southeast.