The mathematical modeling process is also a powerful way to teach students the meaning of data. In mathematical modeling, students are collecting data to answer a question. Data collection is the means to an end and not the end in itself. The author was looking for an engaging way to introduce his third-grade mathematics class to the skill of…

Despite widespread interest in the construct of executive functioning (EF), we currently lack definitive evidence regarding the best measurement model for representing the construct in substantive analyses. The most common practice is to represent EF ability as a reflective latent variable, with child performance on individual EF tasks as observed…

Using two states' grades 3 through 8 state assessment databases, this study documents the extent to which students were assigned testing accommodations for ELA or mathematics in only one of two consecutive years. The percentage of students with disabilities who were assigned accommodations in the current year only or in the prior year only in a…

The present study followed a sample of first-grade (N = 316, M[subscript age] = 7.05 at first test) through fourth-grade students to evaluate dynamic developmental relations between vocabulary knowledge and reading comprehension. Using latent change score modeling, competing models were fit to the repeated measurements of vocabulary knowledge and…

This dissertation sought to produce and empirically test a theoretical model for the literacy construct of print concepts that would take into account the unique affordances of digital picture books for emergent readers. The author used an exploratory study of twenty randomly selected digital story applications to identify print conventions, text…

The present study revalidated a measurement model describing the nature of early number sense. Number sense was shown to be composed of elementary number sense, conventional arithmetic and algebraic arithmetic. Algebraic arithmetic was conceptualized as synthesis of number patterns, restrictions and functions. Two hundred and four 1st grade…

The purpose of this study is to evaluate the relationship of mathematics calculation rate (curriculum-based measurement of mathematics; CBM-M), reading rate (curriculum-based measurement of reading; CBM-R), and mathematics application and problem solving skills (mathematics screener) among students at four levels of proficiency on a statewide…

In this paper the authors briefly describe how features of the multilevel bi-factor model align with salient features of instruction. They then apply this framework to measure the extent to which teachers' instruction is supportive of vocabulary learning in second and third grade reading comprehension and vocabulary lessons. The results lend…

This study examined the changing role and longitudinal predictive validity of curriculum-embedded progress-monitoring measures (CEMs ) for kindergarten students receiving Tier 2 intervention and identified as at risk of developing reading difficulties. Multiple measures were examined to determine whether they could predict comprehensive latent…

Alternate assessments based on alternate achievement standards are designed to measure the academic achievement of students with the most significant cognitive disabilities. Because this population has not previously been included in large-scale testing programs, these assessments present unique measurement challenges. Probably the most…

We report a study of 10-14 year old children's use of additive strategies while solving ratio and proportion tasks. Rasch methodology was used to develop a diagnostic instrument that reveals children's misconceptions. Two versions of this instrument, one with "models" thought to facilitate proportional reasoning and one without were…