Copying equations to assess mathematical competence: An evaluation of pause measures using graphical protocol analysis
نویسنده
چکیده
Can mathematical competence be measured by analyzing the patterns of pauses between written elements in the freehand copying of mathematical equations? Twenty participants of varying levels of mathematical competence copied sets of equations and sequences of numbers on a graphics tablet. The third quartile of pauses is an effective measure, because it reflects the greater number of chunks and the longer time spent per chunk by novices as they processed the equations. To compensate for individual differences in speeds of elementary operations and skill in writing basic mathematical symbols, variants on the measure were devised and tested.
منابع مشابه
Analyzing chunk pauses to measure mathematical competence: Copying equations using 'centre-click' interaction
Mathematical competence can be evaluated by analyzing pauses between strokes that occurring whilst an individual copies equations. These pauses provide a temporal signal that reflects the cognitive effort to process chunks. ‘Centre-click’ interaction with a mouse and response grid on a computer display is introduced as new technique for measuring the temporal chunk signal. Alternative pause mea...
متن کاملMeasuring Mathematic Formula Writing Competence: An Application of Graphical Protocol Analysis
Graphical protocol analysis (GPA) is a novel method for studying chunk-based cognitive performance using semiautomated analysis of a temporal chunk signal in writing protocols. This study applies GPA to the writing of mathematical equations by participants with different levels of expertise. Multiple levels of competence can be distinguished on a single individual and single task basis.
متن کاملApplying pause analysis to explore cognitive processes in the copying of sentences by second language users
Pause analysis is a method that investigates processes of writing by measuring the amount of time between pen strokes. It provides the field of second language studies with a means to explore the cognitive processes underpinning the nature of writing. This study examined the potential of using free handwritten copying of sentences as a means of investigating components of the cognitive processe...
متن کاملMathematical Modeling of Cancer Cells and Chemotherapy Protocol Dealing Optimization Using Fuzzy Differential Equations And Lypunov Stability Criterion
Mathematical models can simulate the growth and proliferation of cells in the interaction with healthy cells, the immune system and measure the toxicity of drug and its effects on healthy tissue pay. One of the main goals of modeling the structure and growth of cancer cells is to find a control model suitable for administration among patients. In this study, a new mathematical model is designed...
متن کاملModeling and Performance Evaluation of Energy Consumption in S-MAC Protocol Using Generalized Stochastic Petri Nets
One of the features of wireless sensor networks is that the nodes in this network have limited power sources. Therefore, assessment of energy consumption in these networks is very important. What has been common practice has been the use of traditional simulators to evaluate the energy consumption of the nodes in these networks. Simulators often have problems such as fluctuating output values i...
متن کامل