The aim of this pilot study was to develop, practice, and evaluate learning environments that are supposed to foster early mathematical reasoning in kindergarten. The participating kindergarten teachers attended a multi-part PD program. The research focused on the development of their teaching skills, and their reasoning practice over one school…

We sought to identify the extent to which an innovative educational technology called ELCII (Early Language Comprehension Individualized Instruction) improved inference making for various populations of kindergarten students. Analyses examined student performance based on individual-level demographic characteristics (i.e., gender, race/ethnicity,…

This paper examines two activities in a weeklong Professional Development (PD) focused on implementing mathematical play in kindergarten classrooms. Though the weekly activities all had different goals, the two focal activities (Pattern Blocks and Create-a-Monster) were designed specifically to be both playful and mathematically engaging for the…

The Numeracy Kit for Kindergarten 5-Year-Olds (NyKK-5) is a tool to support kindergarten teachers' numeracy practices. Based on a pedagogy of enactment, the NyKK-5 was designed to simulate the types of in-class supports that have been identified as critical elements of effective mathematics professional development (PD). Two groups of teachers…

The purpose of this study is to discuss the benefits of developing a bilingual education program and what this program can offer regarding concerns related to the lives of minority people in Turkey. Explanatory sequential mixed method was used for this study. The first phase of this study was a survey that measured the perspectives of educators…

Remaining continually curious about students' mathematical thinking is challenging, yet worthwhile, in teaching practice. This paper describes and analyzes two video-based professional learning (PL) activities designed to help teachers go beyond their initial perceptions of what students understand and to identify what else they might learn about…

In an effort to lessen the implementation burden of a new formative assessment, a state allowed each of its school districts to develop their own professional development and implementation plans based on their unique capacities. This study qualitatively analyzed data from six school case studies and an electronic survey issued to all state…

There is growing recognition that mathematical modeling can be a lever for equity in elementary mathematics classrooms. This study focuses on the impact of a professional development program focused on culturally responsive mathematical modeling on 8 kindergarten through 2nd grade teachers' practices in modeling lessons. We use a project developed…

Preparing students for entry into kindergarten is a key priority within the educational sector. Research has shown that students with lower levels of cognitive and socio-emotional competencies are less prepared for kindergarten entry and consequently perform more poorly on assessments in later grades (Duncan et al., 2007; Ensey Hoever, 2014;…

The purpose of this study was to characterize variations in how teachers enacted an approach to ambitious mathematics teaching: "rough draft math." We also examined teachers' motivations for their enactments. Thirty-two teachers from five states in the U.S.A. were recruited to participate in interviews based on recommendations from…

There is an educational expectation that children's natural drawing will develop into proficient mathematical representations and formal diagrams, yet there is little research available to guide the assessment and development of children's mathematical drawing skills. The aim of this paper is to explore how Year 2 children (approx. 7 years) chose…

In this paper, the application of fuzzy logic in mathematical education is viewed from the perspective of pre- school education. The aim of the paper is to give a brief overview of examples from the literature related to fuzzy logic and to point out the presence of fuzzy linguistic variables in the everyday life of a preschool child, as well as…

The aim of this study is to examine the games in ABCya (https://www.abcya.com/) based on the learning trajectories for the development of number concept. To achieve this aim in the study it was examined which ABC educational game application support the learning trajectory and the development level related to number concept of games. This research…

The development of numerical abilities was examined in 59 children aged 5 years divided into three groups: one control group (n = 15) and two experimental groups (pencil-and-paper mathematical training: n = 29: computerized mathematical training: n = 15). The participants were assessed both before and after a battery of validated tests assessing…

This article represents an amazing reversal of linguistic analysis. Usually Montessori language is translated into "state" terminology. In this case, Sarah Werner Andrews puts state quality assessment terms into Montessori language. For example, domains for school readiness include 1) physical wellbeing and motor development, 2) social…