Generalization is a fundamental mathematical practice across all disciplines and content areas (Amit & Klass, 2005; Lannin, 2005; Pierce, 1902; Vygotsky, 1986; Ellis, Lockwood, Tillema & Moore, 2017). While a considerable amount of research has been conducted on students' generalizing activity in algebraic contexts (Amit & Klass 2005; Becker &...
Enumerative combinatorics is an area of mathematics that is both highly accessible for students and widely applicable to other sciences and areas of mathematics (Kapur, 1970; Lockwood, Wasserman, & Tillema, 2020). One important class of problems in combinatorics is combinatorial proofs of binomial identities, which is a type of proof...
A teacher's mathematical knowledge for teaching has been shown to have a positive correlation with their students' success (Monk, 1994). So, when half of the students that start out in a STEM major switch out to a non-STEM major before graduation to in large part to instructors pedagogical methods and...
Counting problems are rich in opportunities for students to make meaningful mathematical connections and develop non-algorithmic thinking; their accessible nature and applications to computer science make counting problems a valuable part of mathematics curricula. However, students struggle in various ways with counting, and while previous studies have indicated that listing...
The purpose of this study was to investigate solution strategies that Thai second graders used to solve addition and subtraction word problems. Fifty-eight children participated in this study, 40 children took a written test, and 18 children participated in an interview. In addition, two classrooms were selected for observation, and...
An understanding of the effect of environment on
phyllochron (degree-days between two successive leaves) is
necessary to model cereal crop canopy growth. This study
was designed to investigate the relationships of phyllochron
to temperatures and daylengths in winter wheat (Triticum
aestivum L.) and spring barley (Hordeum vulgare L.). A
series...
There is an underrepresentation of minority groups and women in the field of mathematics. With growing interest in equity and inclusion within the mathematics education community, it is important to look at how such concepts can be implemented in the classroom. Equitable and inclusive teaching practices have been shown to...
Take-all root rot (caused by Gaeumannomyces graminis var.
tritici, Ggt) is one of the major diseases limiting winter wheat
yields in western Oregon. Losses caused by take-all (TA) can be
significantly reduced through crop management and fertilization
practices.
Results from field experiments in western Oregon show that the
use of...
The intention of this study was to explore the relationships between Thai middle school girls' and boys' attitudes and beliefs about mathematics and mathematics achievement, future mathematics coursework intentions, and career interests. Participants in this study were 523 students who were enrolled in The Chiang Mai University Demonstration School during...