基于WA的數(shù)學(xué)建模與實(shí)驗(yàn)融入概率統(tǒng)計(jì)課程的應(yīng)用研究

劉鐵

摘要：

面向?qū)W生所學(xué)專業(yè)，將數(shù)學(xué)建模與數(shù)學(xué)實(shí)驗(yàn)引入概率論與數(shù)理統(tǒng)計(jì)課程，有助于激發(fā)學(xué)生對(duì)專業(yè)的熱愛和對(duì)知識(shí)學(xué)習(xí)的重視，對(duì)于培養(yǎng)學(xué)生的數(shù)學(xué)應(yīng)用能力更是意義重大。探討了一款新型計(jì)算知識(shí)搜索引擎Wolfram Alpha應(yīng)用于數(shù)學(xué)實(shí)驗(yàn)教學(xué)的優(yōu)勢(shì)，展示了借助于Wolfram Alpha進(jìn)行對(duì)接專業(yè)的概率統(tǒng)計(jì)建模與實(shí)驗(yàn)教學(xué)應(yīng)用案例。實(shí)踐證明，該項(xiàng)教學(xué)改革對(duì)于不具備條件開展面向各專業(yè)的大規(guī)模數(shù)學(xué)實(shí)驗(yàn)教學(xué)的地方院校來說，是幾乎零成本的解決方案。

關(guān)鍵詞：

Wolfram Alpha; 概率論與數(shù)理統(tǒng)計(jì); 數(shù)學(xué)建模; 數(shù)學(xué)實(shí)驗(yàn)

中圖分類號(hào)： G642.4

文獻(xiàn)標(biāo)志碼： A

Research on the Application of Mathematical Modeling and Experiment in the Course of Probability and Statistics Based on WA

LIU Tie

（1. School of Mathematics and Statistics; 2. Institute of Pure Mathematics and Applied Mathematics， Ankang University， Ankang， Shanxi 725000， China）

Abstract：

For the major of students， introducing mathematical modeling and mathematical experiment into the course of probability theory and mathematical statistics is helpful to inspire students to love their profession and the knowledge learnt. It is of great significance to cultivate students' ability of mathematical application. This paper discusses the advantages of Wolfram Alpha， a new computational knowledge search engine， in mathematical experiment teaching， and shows the application cases of probability and statistics modeling and experiment teaching in the docking specialty with Wolfram Alpha. It has been proved that the teaching reform is an almost zerocost solution for the local colleges and universities which do not have the conditions to carry out largescale mathematics experiment teaching for all majors.

Key words：

Wolfram alpha; probability theory and mathematical statistics; mathematical modeling; mathematical experiment