Two-Level Factorial Designs

2020 ◽  
pp. 300-314
Author(s):  
Enrique Barrado ◽  
T. Alexandra Ferreira
Keyword(s):  
Analytical Chemistry ◽  
Experimental Data ◽  
Problem Solving ◽  
Chemical Process ◽  
Practical Problem ◽  
Process Conditions ◽  
Factorial Designs ◽  
Experimental Conditions ◽  
Advantages And Disadvantages ◽  
Problem Solving Strategies

The term design of experiments in analytical chemistry is associated to the establishment of adequate experimental conditions when working in the laboratory or process conditions used in industry to improve the instrumental conditions and/or extract the highest information from the experimental data. This chapter presents practical problem-solving strategies used to obtain a product or chemical process with desirable characteristics in an efficient mode, focused on the use of full and fractional (2-level) designs. The information is presented as a tutorial and the main advantages and disadvantages are presented and discussed, emphasizing the effect of reduction of experimentation in the data quality.

scholarly journals The Relationship Between Ruminating the Catastrophic Consequences of Bodily Changes and Positive Reappraisal and Practical Problem-Solving Strategies in Individuals With Illness Anxiety Disorder

2020 ◽  
Vol 11 (5) ◽  
pp. 639-648
Author(s):  
Mina Elhamiasl ◽  
◽  
Mohsen Dehghani ◽  
Mahmood Heidari ◽  
Ali Khatibi ◽  
...  
Keyword(s):  
Emotion Regulation ◽  
Anxiety Disorder ◽  
Problem Solving ◽  
Practical Problem ◽  
Interpretation Bias ◽  
Illness Anxiety Disorder ◽  
Problem Solving Strategies ◽  
Illness Anxiety ◽  
The Relationship

Introduction: Cognitive emotion regulation is suggested to contribute to Illness Anxiety Disorder (IAD). Reappraisal and suppression are essential ER strategies with controversial data about their roles in IAD. Relevant studies are mostly limited to exploring these two strategies in individuals without such disorder. Therefore, we aimed to study the role of emotion regulation in the psychopathology of IAD by evaluating other ER strategies in illness-anxious individuals. Furthermore, we investigated the relationship between IAD and emotion regulation by targeting the role of interpretation bias for health-related information.  Methods: The study participants were 60 university students. They underwent a semi-structured clinical interview to assess the presence or absence of IAD symptoms (n=30/group). They completed a battery of questionnaires measuring IAD, emotion regulation, and interpretation bias. Results: The illness-anxious group applied significantly less reappraisal and refocus on planning and more rumination, catastrophizing, and acceptance strategies, compared to the controls. Besides, interpretation bias was positively correlated with rumination and catastrophizing; while its association with reappraisal and planning was negative. Conclusion: Both functional (e.g. reappraisal & planning) and dysfunctional strategies (e.g. rumination & catastrophizing) contributed to the psychopathology of IAD. The biased interpretation of bodily information could make individuals prone to ruminate about the catastrophic consequences of bodily changes; such conditions interrupt fostering more positive reappraisal or practical problem-solving strategies.

IDENTIFICATION OF PROBLEM SOLVING STRATEGIES IN MATHEATICS AMONG HIGH SCHOOL STUDENTS

2017 ◽  
Vol 4 (36) ◽  
Author(s):  
J. Navaneetha Krishnan ◽  
P. Paul Devanesan
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Sample Survey ◽  
Survey Method ◽  
Teaching Mathematics ◽  
School Students ◽  
Problem Solving Strategies ◽  
Achievement In Mathematics

The major aim of teaching Mathematics is to develop problem solving skill among the students. This article aims to find out the problem solving strategies and to test the students’ ability in using these strategies to solve problems. Using sample survey method, four hundred students were taken for this investigation. Students’ achievement in solving problems was tested for their Identification and Application of Problem Solving Strategies as a major finding, thirty one percent of the students’ achievement in mathematics is contributed by Identification and Application of Problem Solving Strategies.

scholarly journals Using process data to understand problem-solving strategies and processes for drag-and-drop items in a large-scale mathematics assessment

2021 ◽  
Vol 9 (1) ◽  
Author(s):  
Yang Jiang ◽  
Tao Gong ◽  
Luis E. Saldivia ◽  
Gabrielle Cayton-Hodges ◽  
Christopher Agard
Keyword(s):  
Problem Solving ◽  
Time Allocation ◽  
Large Scale ◽  
Solution Process ◽  
Process Data ◽  
Mathematics Assessments ◽  
Assessment Design ◽  
Eighth Grade Students ◽  
Problem Solving Strategies ◽  
Drag And Drop

AbstractIn 2017, the mathematics assessments that are part of the National Assessment of Educational Progress (NAEP) program underwent a transformation shifting the administration from paper-and-pencil formats to digitally-based assessments (DBA). This shift introduced new interactive item types that bring rich process data and tremendous opportunities to study the cognitive and behavioral processes that underlie test-takers’ performances in ways that are not otherwise possible with the response data alone. In this exploratory study, we investigated the problem-solving processes and strategies applied by the nation’s fourth and eighth graders by analyzing the process data collected during their interactions with two technology-enhanced drag-and-drop items (one item for each grade) included in the first digital operational administration of the NAEP’s mathematics assessments. Results from this research revealed how test-takers who achieved different levels of accuracy on the items engaged in various cognitive and metacognitive processes (e.g., in terms of their time allocation, answer change behaviors, and problem-solving strategies), providing insights into the common mathematical misconceptions that fourth- and eighth-grade students held and the steps where they may have struggled during their solution process. Implications of the findings for educational assessment design and limitations of this research are also discussed.

scholarly journals Zeolite NaP1 Functionalization for the Sorption of Metal Complexes with Biodegradable N-(1,2-dicarboxyethyl)-D,L-aspartic Acid

Materials ◽  
2021 ◽  
Vol 14 (10) ◽  
pp. 2518
Author(s):  
Dorota Kołodyńska ◽  
Yongming Ju ◽  
Małgorzata Franus ◽  
Wojciech Franus
Keyword(s):  
Experimental Data ◽  
Aspartic Acid ◽  
Ph Value ◽  
Complexing Agents ◽  
X Ray Diffraction ◽  
Experimental Conditions ◽  
Modified Zeolite ◽  
X Ray ◽  
Slow Release Fertilizers ◽  
Pseudo Second Order

The possibility of application of chitosan-modified zeolite as sorbent for Cu(II), Zn(II), Mn(II), and Fe(III) ions and their mixtures in the presence of N-(1,2-dicarboxyethyl)-D,L-aspartic acid, IDHA) under different experimental conditions were investigated. Chitosan-modified zeolite belongs to the group of biodegradable complexing agents used in fertilizer production. NaP1CS as a carrier forms a barrier to the spontaneous release of the fertilizer into soil. The obtained materials were characterized by Fourier transform infrared spectroscopy (FTIR); surface area determination (ASAP); scanning electron microscopy (SEM-EDS); X-ray fluorescence (XRF); X-ray diffraction (XRD); and carbon, hydrogen, and nitrogen (CHN), as well as thermogravimetric (TGA) methods. The concentrations of Cu(II), Zn(II), Mn(II), and Fe(III) complexes with IDHA varied from 5–20 mg/dm3 for Cu(II), 10–40 mg/dm3 for Fe(III), 20–80 mg/dm3 for Mn(II), and 10–40 mg/dm3 for Zn(II), respectively; pH value (3–6), time (1–120 min), and temperature (293–333 K) on the sorption efficiency were tested. The Langmuir, Freundlich, Dubinin–Radushkevich, and Temkin adsorption models were applied to describe experimental data. The pH 5 proved to be appropriate for adsorption. The pseudo-second order and Langmuir models were consistent with the experimental data. The thermodynamic parameters indicate that adsorption is spontaneous and endothermic. The highest desorption percentage was achieved using the HCl solution, therefore, proving that method can be used to design slow-release fertilizers.

scholarly journals Teachers’ Use of Technology Affordances to Contextualize and Dynamically Enrich and Extend Mathematical Problem-Solving Strategies

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 793
Author(s):  
Manuel Santos-Trigo ◽  
Fernando Barrera-Mora ◽  
Matías Camacho-Machín
Keyword(s):  
Problem Solving ◽  
High School Teachers ◽  
Digital Technology ◽  
Dynamic Models ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
School Teachers ◽  
Use Of Technology ◽  
Technology Affordances ◽  
Problem Solving Strategies

This study aims to document the extent to which the use of digital technology enhances and extends high school teachers’ problem-solving strategies when framing their teaching scenarios. The participants systematically relied on online developments such as Wikipedia to contextualize problem statements or to review involved concepts. Likewise, they activated GeoGebra’s affordances to construct and explore dynamic models of tasks. The Apollonius problem is used to illustrate and discuss how the participants contextualized the task and relied on technology affordances to construct and explore problems’ dynamic models. As a result, they exhibited and extended the domain of several problem-solving strategies including the use of simpler cases, dragging orderly objects, measuring objects attributes, and finding loci of some objects that shaped their approached to reasoning and solve problems.

scholarly journals Thinking Process of Naive Problem Solvers to Solve Mathematical Problems

2016 ◽  
Vol 10 (1) ◽  
pp. 1 ◽  
Author(s):  
Jackson Pasini Mairing
Keyword(s):  
Problem Solving ◽  
Procedural Knowledge ◽  
Mental Image ◽  
Research Subjects ◽  
Maximum Score ◽  
Mathematical Problems ◽  
Problem Solving Strategies ◽  
Thinking Process ◽  
Problem Solvers ◽  
Holistic Rubric

Solving problem is not only a goal of mathematical learning. Students acquire ways of thinking, habits of persistence and curiosity, and confidence in unfamiliar situations by learning to solve problems. In fact, there were students who had difficulty in solving problems. The students were naive problem solvers. This research aimed to describe the thinking process of naive problem solvers based on heuristic of Polya. The researcher gave two problems to students at grade XI from one of high schools in Palangka Raya, Indonesia. The research subjects were two students with problem solving scores of 0 or 1 for both problems (naive problem solvers). The score was determined by using a holistic rubric with maximum score of 4. Each subject was interviewed by the researcher separately based on the subject’s solution. The results showed that the naive problem solvers read the problems for several times in order to understand them. The naive problem solvers could determine the known and the unknown if they were written in the problems. However, they faced difficulties when the information in the problems should be processed in their mindsto construct a mental image. The naive problem solvers were also failed to make an appropriate plan because they did not have a problem solving schema. The schema was constructed by the understanding of the problems, conceptual and procedural knowledge of the relevant concepts, knowledge of problem solving strategies, and previous experiences in solving isomorphic problems.

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