Mathematics in Early Childhood Education: Awareness, Perspectives, Knowledge

Abstract

This qualitative study investigates the awareness of preschool teachers regarding the importance of mathematics education. The study also examines their knowledge and perspectives on an effective early years math curriculum and pedagogy using a qualitative case study approach. The study sample included 27 teachers at preschools located in the southeast region of Turkey. Semi-structured interviews were conducted to obtain the required data. The interviews were audio-recorded and subsequently transcribed into full text in Turkish, with selected quotes being translated into English. The collated data were analyzed using an emergent coding approach. The teachers believed that providing a solid mathematical foundation in early childhood increases students’ engagement in future mathematics courses. However, in the absence of a formal early years mathematics curriculum, the findings indicate that early years teachers require pedagogical knowledge and a relevant curriculum to teach young children mathematics. This is necessary for the development of children's mathematical thinking and to broaden children’s understanding as to how they can improve their strategies for using math knowledge to solve problems.

Combinatorial Test Case Generation Based on ROBDD and Improved Particle Swarm Optimization Algorithm

“…Because the PSO algorithm needs a large particle swarm inertia factor (ω) to traverse the entire space of solutions as much as possible in the early stage of the search, and a small ω in the late stage of the search to make the particles approach the optimal solution and reach convergence as soon as possible, the traditional PSO algorithm uses a fixed value for the ω in the process of searching, and the search efficiency is thus seriously affected. In this paper, an improvement rate (α t ) is introduced to monitor the search process of the PSO algorithm so as to adjust the inertia parameter (ω) adaptively to improve the search efficiency of the PSO algorithm, and the ω is updated according to Equation (11):…”

“…Each particle position represents m test cases, where each test case contains d inputs, and the matrix elements are randomly assigned as 0 or 1. Each particle velocity is an m × d matrix of numbers randomly generated between 0 and 1; 7 ⃝ Update the inertia weights according to Equation (11) and iterate the velocity according to Equation (8), where r 1 and r 2 are m × d matrices of numbers randomly generated between 0 and 1. The iteration process of the elements in each particle position matrix is as follows: if the absolute value of a position element determined from the velocity matrix is greater than a number randomly generated between 0 and 1, the position element is flipped; 8 ⃝ Calculate the improvement rate (α t ) according to Equation ( 12) and the fitness function according to Equation (10) and update the historical best fitness value for each individual and its position and the global historical best fitness value and its position.…”

“…The parameters of the improved particle swarm algorithm that we used were set as follows: the number of particles (N) was set to 100, 𝑐 and 𝑐 were both set to 1.2, the initial value of 𝜔 was 0.8, and the maximum number of iterations (𝑁 ) was 1000. The weight (𝜔) was updated for each iteration via Equation (11), and 𝐼𝑅 was taken as 0.001 and 𝐼𝑅 was taken as 0.002.…”

Pengembangan Media Timbangan Materi Konsep Pengukuran pada Anak Usia Dini

“…Pendidikan matematika yang berkualitas penting diterapkan sejak anak berusia dini sebagai prediktor terkuat dalam pencapaian kesuksesan jangka panjang anak (Demir, 2022;Watts et al, 2018). Menurut (NCTM, 2000) National Council Of Teacher Of Mathematics telah mengembangkan The principles and strandards for school mathematics menjelaskan harapan pembelajaran matematika pada anak usia dini, khususnya berkaitan dengan konsep matematika yang dapat dipahami oleh anak usia dini, termasuk materi pengukuran.…”

Ketertarikan Anak Usia Dini Belajar Matematika melalui Metode Pembelajaran Cahaya Indonesia; Bermain Berbasis Buku-Merdeka Belajar

“…Perhatian internasional pentingnya matematika bagi anak usia dini dalam satu dasawarsa terakhir menunjukkan peningkatan signifikan. Berbagai konsensus menyebut dampak pentingnya pengetahuan matematika bagi anak usia dini baik untuk jangka pendek maupun jangka panjang (Demir, 2022). Keterampilan matematika dan literasi matematika berkontribusi dalam prestasi anak di sekolah (Anders & Rossbach, 2015) dan peluang karir di usia dewasa (Lee, 2017), dan membangun kesuksesan jangka panjang di sekolah (Watts et al, 2018).…”