本研究使用的仪器是Platas(2008)开发的仪器，即数学发展知识调查(Knowledge of Mathematical Development, KMD)和信念调查(belief Survey)。还将分发一份人口调查问卷，收集关于被调查者的资料。《数学发展概览》(The Knowledge of mathematics Development Survey, Platas)是一套20道多项选择题，测试教师在言语数理数列、数理数列、单词序数、加减法、集合划分、书面数字符号和单词方面的知识和发展。在每个数字中，被调查者要从两个孩子可能首先学习的数学技能中选择一个。如果被调查者认为两种选择都是孩子很容易学会的，那么就可以选择“相同的”。然而，如果被调查者不知道哪个技能对孩子来说更容易学习，他或她可以选择“不知道”。信念调查是关于数学教学和学习的40个信念的集合。它有一个5-pt。李克特量表(Likert scale)，反应范围从非常同意到非常不同意。信念调查将评估教师对四个方面的看法:(1)幼儿课堂数学教学的年龄适宜性;(2)数学知识的生成轨迹.
Instruments to be used for this study are the instruments developed by Platas (2008) namely the Knowledge of Mathematical Development (KMD) Survey and the Beliefs survey. A demographic questionnaire gathering information about the respondents will also be distributed.The Knowledge of Mathematical Development Survey (Platas) is a set of 20 multiple-choice questions that tests teachers’ knowledge and development in the area of verbal counting sequence, counting, ordinal number of words, addition/subtraction, divisions of sets, written number symbols and words. In each number, the teacher-respondents are to choose which of two math skills children are likely to learn first. If the respondents think that both choices are easily learned by a child, then the choice of “same” may be picked. However if the respondent does not know which skill is easier for a child to learn, he or she can choose the option “do not know”.The Beliefs Survey is a set of 40 beliefs about Math teaching and learning. It has a 5-pt. Likert scale with responses that range from Strongly Agree to Strongly Disagree. The belief survey will evaluate the teacher’s perspective about 4 areas: (1) age appropriateness of mathematics instruction in the early childhood classroom, (2) locus of Generation of Mathematical Knowledge, (3) Social and Emotional vs. Mathematical Development as Primary Goal of Preschool and (4) Teacher comfort in mathematics instruction.