David's problem solving

Lu, Lianfang

doi:10.5951/teacchilmath.19.6.0400

Cited by 2 publications

(3 citation statements)

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“…The lead author initially investigated a first grader's intuitive ideas in solving multiplication problems in the US through a task-based interview (Lu, 2013). This article reports a follow-up study examining the growth of his understanding of multiplication after one year.…”

Section: The Present Studymentioning

confidence: 99%

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Understanding children’s reasoning in multiplication problem-solving

Richardson

2018

Investigations in Mathematics Learning

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This article investigates two children's intuitive thinking in solving multiplication problems from different educational backgrounds. One of the children is in a southern elementary school in the US. He was given the same problems both in first and second grades. The other child was a first grader in a southwest region of China, and she was given the same problems. The findings reveal a variety of intuitive thinking in solving the multiplication problems through addition beyond direct modeling and counting strategies. The authors also discussed how different educational backgrounds in early elementary mathematics education may affect children's intuitive ideas and reasoning in solving multiplication problems. The study implies the importance of understanding children's intuitive ideas of multiplication and highlights potential opportunities for developing children's understanding of multiplicative thinking and algebraic thinking in earlier stages of arithmetic learning.

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Section: The Present Studymentioning

confidence: 99%

“…He counted all the line segments altogether. In summary, David used a combination of drawing and counting-altogether to avoid the difficulties of adding multiple larger numbers (Lu, 2013).…”

Section: Data Sources and Analysesmentioning

confidence: 99%

Understanding children’s reasoning in multiplication problem-solving

Richardson

2018

Investigations in Mathematics Learning

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“…Therefore, a search for alternative treatment strategies is highly desired. On the basis of empirical evidence and clinical practice, we have developed a formula called tumor-shrinking decoction (TSD, which is composed of 15 individual herbal medicines) to treat UFs [6][7][8]. Our preliminary clinical observation has demonstrated the benefits of TSD in improving UFs symptoms [9].…”

Section: Introductionmentioning

confidence: 99%

Quality and safety control of tumor‐shrinking decoction (TSD): A Chinese herbal preparation for the treatment of uterine fibroids

Chen

Lin

Yeung

et al. 2016

Biotech and App Biochem

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Reproducible efficacy assessments of Chinese herbal medicines are largely based on well-established quality control procedures. This study presents a comprehensive quality control procedure for tumor-shrinking decoction (TSD), a 15-herb preparation under study as a potential therapy for uterine fibroids. Morphological, microscopic, and physicochemical authentications were first carried out on individual herbal medicines composing TSD. Contaminant tests on TSD for the presence of heavy metals and pesticide residues were performed by atomic absorption spectrophotometry and gas chromatography-mass spectrometry analysis. Furthermore, batch-to-batch quality monitoring of the decoction was investigated via ultra-performance liquid chromatography (UPLC) and high-performance liquid chromatography (HPLC). An aqueous extract of the herbal medicines was prepared and formulated into TSD. The tested contaminants were within the maximum permitted levels of the Hong Kong government in proprietary Chinese medicines. UPLC and HPLC fingerprints for quality tracking on TSD were established. The decoction was quantitatively standardized by UPLC and HPLC, respectively, with five and three chemical compounds serving as references. Collectively, the procedure established in this study will not only serve as a fundamental basis for the investigation and development of TSD as a novel therapy for uterine fibroids, but also as a protocol for studying other polycomponent herbal preparations.

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David's problem solving

Cited by 2 publications

References 0 publications

Understanding children’s reasoning in multiplication problem-solving

Understanding children’s reasoning in multiplication problem-solving

Quality and safety control of tumor‐shrinking decoction (TSD): A Chinese herbal preparation for the treatment of uterine fibroids

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