不使用矢量的动态字符串数组

我正在做一项作业，我们必须创建一个"student"对象，该对象具有动态的"course"成员数组，这样用户就可以在数组中从一门课程输入任意多门课程。我一直在尝试各种方法，但无法调整数组的大小并接受新元素。这是我现在的代码：

cout << "Enter student name > ";
cin >> name;
Student firstStudent(name);
cout << endl << "Enter "done" when you are complete";
cout << endl << "Enter a new course : ";
cin >> course;
while (course != "done") {
    numCourses++;
    firstStudent.addElement(numCourses, course);//makes the array bigger
    cout << endl << "Enter a new course : ";
    cin >> course;
}//end while

成员变量和构造函数：

class Student
{
private:
   string name;//name of student
   string *dynArray = new string[1];//array
public:
Student::Student(string name)
{
   this->name = name;
   this->numC = 1;//initialized to one to start with    
}

调整大小并向数组添加元素：

void Student::addElement(int numCourses, string &course) {//DYNAMIC ARRAY
    if (numCourses > this->numC) {//checks if there are more courses than there is room in the array
       this->numC = numCourses; //this changes the member variable amount
       dynArray[numCourses] = course;//adds new course to array
       string *temp = new string[numC];//create bigger temp array
       temp = dynArray;//write original to temp
       delete[]dynArray; //this tells it that it's an array
       dynArray = temp;//make dynarray point to temp
    }
    else {
       dynArray[numCourses] = course;//adds new course to array
    }
}//end addElement

即使我设法消除了编译错误，它也经常会出现运行时错误。我确信这与指针/复制数组有关，但我只是在学习，还没有掌握这些概念。

编辑：dynArray[numCourses]=课程；创建一个char数组。ie if course="one"，dynArray[0]="o"，dynArray[1]="n"等。有人知道如何防止这种情况发生吗？

屏幕截图